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State tax filing
It probably means you employer split your wages to show how much you earned as a New Jersey resident.
New York and New Jersey tax income differently. There is no NJ withholding because you still have to pay NY tax for the whole year because you continued to work in NYC and NJ gives you a tax credit that covers most or all of the NJ tax from your NY job.
New York
You'll file a part-year return for New York but report 100% of your income (since you continued to work in NY after moving to NJ).
New Jersey
File a part-year return and use your NJ wages (I'm assuming that is the part-year amount).
NJ gives you a credit for tax paid to NY because your income was double-taxed since the move. Since you are part-year you'll have to figure the credit by hand.
Multiply your NY wage and your NY tax liability (not withholding) by roughly 10/12 (you can use actual days, or partial months) and enter those numbers in the Other State Tax Credit section of New Jersey,.
The NY wage amount may be lower than your NJ W-2 wages but NJ only gives you credit for actual income taxed by NY. NJ wages are generally higher so there is some leakage, meaning you don't get full credit and may owe a bit to NJ.
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