No. You need to file your NY return first. Then when you file your NY non-resident return, your credit will be the amount that NY charges you for taxes.
After you complete the NY return, go to your NJ return and when asked about credits, you will enter the amount of your NY tax liability here. This may not be the same as the amount you had withheld. So be sure to use the amount from your tax return.
As you go through, just be sure you read each question carefully and then answer it. TurboTax pretty much does the work for you. It is like sitting across the desk from someone just you have to read the questions instead of having someone ask them.
If you get stuck you have the option in the upper corner to select help. You can choose live help where someone can see your screen and just answer the questions you have, you can also have someone prepare the return for you through the upgrade questions or we are also here to answer your questions for free. We just can't see your screen in the community so if you get stuck, a screenshot with your question can help just be sure not to post any personal ID information such as your name, address, ssn or email address.
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