No, you would not receive a refund from New York for the difference, but you would receive a credit for taxes paid on your Maryland tax return. You may receive a refund on your Maryland tax return based on your tax liability to Maryland.
If you lived and worked in reciprocal states then you could have your employer only take out taxes for your state but Maryland and New York do not have reciprocal agreements. Please review the TurboTax article Which states have reciprocal agreements? take out taxes for your state but New York and Maryland do not have reciprocal agreements.
Please review the TurboTax article Multiple States - Figuring What's Owed When You Live and Work in More Than One State for additional information.
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