It depends, according to the New York Dept. of Taxation and Finance; they may receive a credit for taxes paid in another state. For California and SC they may have to pay taxes for income received while working there as a resident, non resident, or part year resident.
If I live in New York but work in another state, am I taxed twice?
A person who lives in one state but works in another may have tax liability in both states, but typically will receive a tax credit in their state of residence to eliminate double taxation of that income.
If you were a full-year or part-year resident of New York State and you had income sourced to and taxed by another state you may claim a nonrefundable resident credit against your New York State tax. This credit is allowable only for the portion of the tax that applies to income sourced to and taxed by the other taxing authority while you were a New York State resident.
For more information see, IT-112-R-I, Instructions for Form IT-112-R New York State Resident Credit.
Here is an excellent source of information to see what qualifies as resident, nonresident, and part year resident; considering domicile rules from New York.
@rgcosta
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