Help with NYS non-resident income

Yes, you can file a New York state tax return as a nonresident. You won't get all of your tax withheld refunded to you, but you can also take a credit for taxes paid to another state on your Michigan tax return. 

Start by preparing your New York nonresident tax return first. You are likely to get a refund, but not a complete refund. 

1. Next, do your Michigan tax return.
2. As you go through watch for the screen Other State Tax Credit Summary. 
3. Select Edit to the right of New York. 
4. The program will pick up the income and taxes as they were entered on your tax return. If it's right, leave the right hand column blank. If it's wrong, make corrections. Please note that the tax amount is the amount of tax New York is keeping, not the full amount withheld. 
5. Continue with your state return.