New York Yankees First-Place Clinch Scenario

New York's traditional magic number (relative to first-place Toronto) is 54 + 69 - 52 + 1 = 72.
New York's first-place clinch number is 68.
New York must win 68 more games (120 total) to clinch first place.

If New York wins 68 more games, their final win total will be at least 120.
The table below shows the best case scenario for each of the other teams if New York wins 68 of their remaining 69 games and loses the other 1.
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 68 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
Toronto          54	39	69	       6 - 1 = 5	118
Tampa Bay        50	44	68	       6 - 1 = 5	113
Boston           50	45	67	       7 - 1 = 6	111
Baltimore        42	50	70	       7 - 1 = 6	106

The table above shows that if New York wins 68 more games (120 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 68, consider the following scenario in which New York wins 67 more games (119 total) but does not finish in first place:

Team             W	L	PCT	GB
Toronto          119	43	0.735	0.00
New York         119	43	0.735	0.00
Boston           88	74	0.543	31.00
Baltimore        87	75	0.537	32.00
Tampa Bay        61	101	0.377	58.00

Tie breakers
Toronto 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
Toronto          54	39	69	0.581	0.0
New York         52	41	69	0.559	2.0
Tampa Bay        50	44	68	0.532	4.5
Boston           50	45	67	0.526	5.0
Baltimore        42	50	70	0.457	11.5

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 4 losses.
  Baltimore wins 6 additional games against Boston and loses 0.
  Baltimore wins the series 9 games to 4

Baltimore currently has 4 wins against Tampa Bay and 3 losses.
  Baltimore wins 6 additional games against Tampa Bay and loses 0.
  Baltimore wins the series 10 games to 3

Boston currently has 5 wins against Tampa Bay and 2 losses.
  Boston wins 6 additional games against Tampa Bay and loses 0.
  Boston wins the series 11 games to 2

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

New York currently has 1 wins against Boston and 5 losses.
  New York wins 7 additional games against Boston and loses 0.
  New York wins the series 8 games to 5

New York currently has 4 wins against Tampa Bay and 3 losses.
  New York wins 6 additional games against Tampa Bay and loses 0.
  New York wins the series 10 games to 3

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

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

Toronto currently has 5 wins against New York and 2 losses.
  Toronto wins 2 additional games against New York and loses 4.
  Toronto wins the series 7 games to 6

Toronto currently has 1 wins against Tampa Bay and 5 losses.
  Toronto wins 7 additional games against Tampa Bay and loses 0.
  Toronto wins the series 8 games to 5

Baltimore wins 33 games agains teams outside the division and loses 11.
Boston wins 32 games agains teams outside the division and loses 13.
New York wins 43 games agains teams outside the division and loses 0.
Tampa Bay wins 11 games agains teams outside the division and loses 32.
Toronto wins 46 games agains teams outside the division and loses 0.

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