Well, they were a 79-83 team with their pythag, with a -21 differential.
While we don't know the lineup, let's measure based on previous numbers(not including HRs)
Cano 81 R, 107 RBIs
Granderson: 31 R, 15 RBIs in 2013 (102 R, 106 RBIs in 2012)
TOTAL LOST: 183 R, 213 RBIS
A healthy Granderson and Teixiera would've given the Yankees a tough offense of 800 RBIs and a contending team that would've likely been a wild card team. Their losses really hurt the team.
Now the replacements:
Beltran 79 R, 84 RBIs
McCann 43 R, 57 RBIs (about 60 R and 70 RBIs when healthy for a full season)
Ellsbury 92 R, 53 RBIs
Estimated Total 231 R, 207 RBIs
Based on the math, the Yanks are only slightly better, depending how Ellsbury is utilized, especially considering they already have Jeter and Gardner around. However, losing Cano hurts considering how effective he was as the #3 hitter on the Yankees. Still, there is the risk of regression due to age, so past numbers can't be completely taken into account, especially considering the age of the Yankees team. The pitching is still a question mark unless the Yanks make an addition in the rotation. Losing Pettitte will hurt, and Nova needs more consistency. Kuroda and Sabathia still have age related concerns as well. And they desperately need bullpen help, as Logan's gone and Rivera's retired. BTW, the Yanks pitching was 8th in baseball last year.
Sorry if my math is a little off.