New York Yankees First-Place Clinch Scenario

New York's traditional magic number (relative to second-place Boston) is 25 + 111 - 30 + 1 = 107.
New York's first-place clinch number is also 107.
New York must win 107 more games (137 total) to clinch first place.

If New York wins 107 more games, their final win total will be at least 137.
The table below shows the best case scenario for each of the other teams if New York wins 107 of their remaining 113 games and loses the other 6.
For each team, the table shows the current record (number of wins (W) and losses (L)) and the number of games that team has
left to play (GL) in the regular season. Taking the schedule of games left to play into account, the 'Losses to New York' column gives the
minimum number of games that each team will lose to New York if New York wins 107 more games. Assuming that a team wins all of its remaining games except for
the games it loses to NYYankees, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to New York	Maximum W
Tampa Bay        23	26	113	               0	136
Toronto          25	24	113	      10 - 6 = 4	134
Boston           25	26	111	      13 - 6 = 7	129
Baltimore        16	32	114	      10 - 6 = 4	126

The table above shows that if New York wins 107 more games (137 total), then they will finish the season in first place in the division.

To see that New York's first-place clinch number cannot be less than 107, consider the following scenario in which New York wins 106 more games (136 total) but does not finish in first place:

Team             W	L	PCT	GB
Tampa Bay        136	26	0.840	0.00
New York         136	26	0.840	0.00
Boston           90	72	0.556	46.00
Baltimore        89	73	0.549	47.00
Toronto          83	79	0.512	53.00

Tie breakers
Tampa Bay wins the season series with New York 9 games to 4.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
New York         30	19	113	0.612	0.0
Toronto          25	24	113	0.510	5.0
Boston           25	26	111	0.490	6.0
Tampa Bay        23	26	113	0.469	7.0
Baltimore        16	32	114	0.333	13.5

Next, we show how the remaining series of games in the division play out in the scenario:


Baltimore currently has 1 wins against Boston and 2 losses.
  Baltimore wins 7 additional games against Boston and loses 3.
  Baltimore wins the series 8 games to 5

Baltimore currently has 3 wins against Toronto and 3 losses.
  Baltimore wins 7 additional games against Toronto and loses 0.
  Baltimore wins the series 10 games to 3

Boston currently has 2 wins against Toronto and 5 losses.
  Boston wins 6 additional games against Toronto and loses 0.
  Boston wins the series 8 games to 5

New York currently has 1 wins against Baltimore and 2 losses.
  New York wins 10 additional games against Baltimore and loses 0.
  New York wins the series 11 games to 2

New York currently has 0 wins against Boston and 0 losses.
  New York wins 12 additional games against Boston and loses 1.
  New York wins the series 12 games to 1

New York currently has 2 wins against Toronto and 1 losses.
  New York wins 10 additional games against Toronto and loses 0.
  New York wins the series 12 games to 1

Tampa Bay currently has 0 wins against Baltimore and 0 losses.
  Tampa Bay wins 13 additional games against Baltimore and loses 0.
  Tampa Bay wins the series 13 games to 0

Tampa Bay currently has 1 wins against Boston and 2 losses.
  Tampa Bay wins 10 additional games against Boston and loses 0.
  Tampa Bay wins the series 11 games to 2

Tampa Bay currently has 3 wins against New York and 4 losses.
  Tampa Bay wins 6 additional games against New York and loses 0.
  Tampa Bay wins the series 9 games to 4

Tampa Bay currently has 2 wins against Toronto and 1 losses.
  Tampa Bay wins 10 additional games against Toronto and loses 0.
  Tampa Bay wins the series 12 games to 1

Baltimore wins 59 games agains teams outside the division and loses 15.
Boston wins 55 games agains teams outside the division and loses 17.
New York wins 74 games agains teams outside the division and loses 0.
Tampa Bay wins 74 games agains teams outside the division and loses 0.
Toronto wins 58 games agains teams outside the division and loses 22.

Combining the current standings with the wins and losses from the scenario results in the final standings listed above.
# New York Yankees' magic number
# New York's magic number
# Yankees' magic number
# MLB Playoff Race