New York Yankees First-Place Clinch Scenario

New York's traditional magic number (relative to second-place Tampa Bay) is 12 + 139 - 14 + 1 = 138.
New York's first-place clinch number is 134.
New York must win 134 more games (148 total) to clinch first place.

If New York wins 134 more games, their final win total will be at least 148.
The table below shows the best case scenario for each of the other teams if New York wins 134 of their remaining 139 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 134 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        12	11	139	      10 - 5 = 5	146
Baltimore        11	13	138	      13 - 5 = 8	141
Boston           9	14	139	      12 - 5 = 7	141
Toronto          10	13	139	      13 - 5 = 8	141

The table above shows that if New York wins 134 more games (148 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 134, consider the following scenario in which New York wins 133 more games (147 total) but does not finish in first place:

Team             W	L	PCT	GB
Tampa Bay        147	15	0.907	0.00
New York         147	15	0.907	0.00
Toronto          88	74	0.543	59.00
Baltimore        59	103	0.364	88.00
Boston           24	138	0.148	123.00

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         14	9	139	0.609	0.0
Tampa Bay        12	11	139	0.522	2.0
Baltimore        11	13	138	0.458	3.5
Toronto          10	13	139	0.435	4.0
Boston           9	14	139	0.391	5.0

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


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

Boston currently has 0 wins against Toronto and 0 losses.
  Boston wins 7 additional games against Toronto and loses 6.
  Boston wins the series 7 games to 6

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

New York currently has 1 wins against Boston and 0 losses.
  New York wins 12 additional games against Boston and loses 0.
  New York wins the series 13 games to 0

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

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 0 wins against Boston and 0 losses.
  Tampa Bay wins 13 additional games against Boston and loses 0.
  Tampa Bay wins the series 13 games to 0

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

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

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

Baltimore wins 35 games agains teams outside the division and loses 51.
Boston wins 8 games agains teams outside the division and loses 80.
New York wins 91 games agains teams outside the division and loses 0.
Tampa Bay wins 90 games agains teams outside the division and loses 0.
Toronto wins 59 games agains teams outside the division and loses 28.

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