New York Yankees First-Place Clinch Scenario

New York's traditional magic number (relative to second-place Boston) is 26 + 110 - 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 112 games and loses the other 5.
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        24	26	112	       6 - 5 = 1	135
Toronto          25	25	112	      10 - 5 = 5	132
Boston           26	26	110	      13 - 5 = 8	128
Baltimore        16	33	113	      10 - 5 = 5	124

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           91	71	0.562	45.00
Baltimore        77	85	0.475	59.00
Toronto          72	90	0.444	64.00

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	20	112	0.600	0.0
Boston           26	26	110	0.500	5.0
Toronto          25	25	112	0.500	5.0
Tampa Bay        24	26	112	0.480	6.0
Baltimore        16	33	113	0.327	13.5

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


Baltimore currently has 3 wins against Toronto and 3 losses.
  Baltimore wins 4 additional games against Toronto and loses 3.
  Baltimore wins the series 7 games to 6

Boston currently has 3 wins against Baltimore and 1 losses.
  Boston wins 6 additional games against Baltimore and loses 3.
  Boston wins the series 9 games to 4

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 13 additional games against Boston and loses 0.
  New York wins the series 13 games to 0

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 3 wins against Toronto and 1 losses.
  Tampa Bay wins 9 additional games against Toronto and loses 0.
  Tampa Bay wins the series 12 games to 1

Baltimore wins 54 games agains teams outside the division and loses 20.
Boston wins 53 games agains teams outside the division and loses 19.
New York wins 73 games agains teams outside the division and loses 0.
Tampa Bay wins 74 games agains teams outside the division and loses 0.
Toronto wins 44 games agains teams outside the division and loses 36.

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