New York Yankees First-Place Clinch Scenario

New York's traditional magic number (relative to second-place Baltimore) is 19 + 132 - 20 + 1 = 132.
New York's first-place clinch number is 126.
New York must win 126 more games (146 total) to clinch first place.

If New York wins 126 more games, their final win total will be at least 146.
The table below shows the best case scenario for each of the other teams if New York wins 126 of their remaining 130 games and loses the other 4.
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 126 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
Baltimore        19	11	132	      10 - 4 = 6	145
Toronto          15	17	130	       7 - 4 = 3	142
Boston           18	13	131	      13 - 4 = 9	140
Tampa Bay        14	18	130	      10 - 4 = 6	138

The table above shows that if New York wins 126 more games (146 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 126, consider the following scenario in which New York wins 125 more games (145 total) but does not finish in first place:

Team             W	L	PCT	GB
Baltimore        145	17	0.895	0.00
New York         145	17	0.895	0.00
Boston           100	62	0.617	45.00
Toronto          87	75	0.537	58.00
Tampa Bay        40	122	0.247	105.00

Tie breakers
Baltimore wins the season series with New York 7 games to 6.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Baltimore        19	11	132	0.633	0.0
New York         20	12	130	0.625	0.0
Boston           18	13	131	0.581	1.5
Toronto          15	17	130	0.469	5.0
Tampa Bay        14	18	130	0.438	6.0

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


Baltimore currently has 3 wins against Boston and 0 losses.
  Baltimore wins 10 additional games against Boston and loses 0.
  Baltimore wins the series 13 games to 0

Baltimore currently has 2 wins against New York and 1 losses.
  Baltimore wins 5 additional games against New York and loses 5.
  Baltimore wins the series 7 games to 6

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

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

Boston currently has 0 wins against Tampa Bay and 0 losses.
  Boston wins 9 additional games against Tampa Bay and loses 4.
  Boston wins the series 9 games to 4

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 Tampa Bay and 1 losses.
  New York wins 10 additional games against Tampa Bay and loses 0.
  New York wins the series 12 games to 1

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

Toronto currently has 0 wins against Boston and 0 losses.
  Toronto wins 13 additional games against Boston and loses 0.
  Toronto wins the series 13 games to 0

Toronto currently has 2 wins against Tampa Bay and 2 losses.
  Toronto wins 7 additional games against Tampa Bay and loses 2.
  Toronto wins the series 9 games to 4

Baltimore wins 85 games agains teams outside the division and loses 1.
Boston wins 73 games agains teams outside the division and loses 9.
New York wins 90 games agains teams outside the division and loses 0.
Tampa Bay wins 20 games agains teams outside the division and loses 65.
Toronto wins 52 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