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What is the 1099G for?  A state refund or unemployment or something else?  You have to report it for the year you got it.  

If it's for a state refund (amount in box 2) you might not need to enter it at all.  

A State Tax Refund is taxable if you itemized deductions on that prior year's federal return and took a deduction for state income taxes instead of the sale tax.  You got a deduction benefit for it so now you have to include it as income. If you took the standard deduction it is not taxable and you don't need to report it.