State tax filing

Hi,

I have never had residence in NY (my family lives there but did not claim me on there taxes this year). I work and live permanently in PA. However, my W2 is showing 2 state ID's, NY and PA. When filing taxes should I remove NY (or put 0$ PA taxable income) in order to account for the extra NY taxes that have been taken out of my pay check every cycle? Or is there some other paper work I have to file for state reconciliation or something? 

Thanks 🙂