@rahulp8622
Please see rjs' last post.
I can't work with your example, because withholding is just an estimate and not what tax you are actually assessed on income. That is, the withholding could vary between the two states for reasons other than the calculations involved in determining the credit for taxes paid in other states.
To repeat what rjs said, if you have NY and NJ taxes assessed on the same income, then you will pay the NY tax, and get a credit for the tax paid to New York on your NJ return.
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