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Are you confused about what year you are asking about?   Why are you talking about an amended W-2?   Are you really asking about 2024?   No one has received a 2025 W-2 yet.

 

If you relocated from KY to TX in 2025, the tax withheld for KY will not appear on a W-2 until you receive your 2025 W-2  in early 2026 from the employer, so that you can prepare a part-year state return for KY for tax year 2025.  And...if he began working and living in TX in May, that is when he ceased to be a resident of KY.   Owning a house in TX is not the criteria---living and working in TX is what matters -- whether he lived in a hotel or a home you purchased.

**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**