No, don't remove that amount from NJ return.
As a NY nonresident, you only pay tax on New York source income, which includes earnings from work performed in New York State, and income from real property located in the state.
That income is also taxable on your NJ income tax return. Individuals who are resident and ordinarily resident in Jersey are liable to Jersey income tax on their worldwide income.
However, you can clain on your NJ return credit paid to another state. When calculating a credit for taxes paid to New York, you should only use the income actually taxed by New York in the calculation.
For accurate calculation, always prepare the non-resident return first.
How do I file a nonresident state return?
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