Because you live in NY and work in NJ, you will file a nonresident return for NJ and resident return in NY. When you get to the State section of the program be sure to start the nonresident return first (NJ), and resident return last (NY). Instructions for preparing a nonresident state return are provided below.
The state income tax you paid to NJ will be applied as a credit to your NY on that same income. If you are due a refund from NJ, the program will calculate that for you and it will appear on the refund meter.
https://ttlc.intuit.com/replies/3302052
