NY will tax your income for the full year since it is NY sourced income. You will file the NY return as a part year resident and indicate the full amount of wages earned. NY Part-Year Resident top of page 5 explains NY law for part year residents.
Then, you will file GA as a part year resident. You will have to use your paystubs to determine the amount earned in GA. Claim that amount. Also, claim the NY tax paid for that same time period for a credit on your GA return.
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