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State tax filing
If you continued to work in New York after moving to New Jersey, then 100% of your wages are still taxable to NY. All that changes is the resident and nonresident portion.
For example if you made $12,000 ($1,000/month), you can change from $10,000 (Jan-Oct) resident wages and $2,000 nonresident wages to $3,000 (Jan-Mar) resident and $9,000 nonresident wages, but all the income is still taxable to NY.
You will see a screen Tell us about your New York nonresident income. Enter the amount while living in NJ here.
You would save on New York City income tax by changing your residency. NYC nonresidents do not pay NYC income tax.
Generally NY tax is higher than NJ, so you should still get full credit for NY tax paid on the NJ return whether you start your residency in March or October.
NJ will not complain if you report more NJ income than is shown on your W-2. NY may send you a notice if you were a former NYC resident. In that case, you should send some proof of change of residency, such as cancellation of your lease.
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