Since you live in Oklahoma but work in Louisiana, yes, you may owe some income taxes to Oklahoma. You will need to complete an income tax return for Louisiana first. When completing your Oklahoma income tax return, you will get a credit for paying income taxes to another state (Louisiana).The only way to know how much you may have to pay, is to complete both state income tax returns.
For the steps on how to file your Louisiana and Oklahoma state income tax returns, click on How do I file a nonresident state return?
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