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State tax filing
@Juliablk15 --
If you moved your permanent home (your domicile in tax terminology) from NY to NJ during 2020, then for tax purposes you file as a part-year resident of each of the two states for that year. NJ does not have a part-year resident tax form, but its regular tax form NJ-1040 has a line where part-year residents indicate their dates of residence in NJ. All your income after your move to NJ is taxable by NJ.
NY can tax all your income during your resident period and all your NY-source income during your non-resident period. If you've already filed NY Form IT-203 and included both these incomes, there is no need to amend. Pages 18-19 of this reference give a worksheet and an explanation as to how part-year NY residents should allocate their income:
https://www.tax.ny.gov/pdf/current_forms/it/it203i.pdf
You can take a credit on your NJ return for the taxes paid to NY on the portion of your NY income that was also taxable by NJ. If you failed to claim this credit on your original NJ return, then you can amend.