My 22 yr old received an unemployment/stimulus check last May ($4k) but then Unemp. office said she has to repay it (dont know why). How does she show that on her taxes?

Did she actually repay it in 2020?  If so, did she receive a 1099-G that reflects the repayment?

No not yet.  She is just trying to keep up with rent.  

I live in WA state, filed an extension for my 22 year old's federal taxes. Do I need to file an extension for state taxes too? The WA State website is unclear. 

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@awalker1063 wrote:

I live in WA state, filed an extension for my 22 year old's federal taxes. Do I need to file an extension for state taxes too? The WA State website is unclear. 

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Washington state does not have a personal income tax so there is not an extension needed for Washington.

No extension is required for Washington state since Washington state does not have a personal or corporate income tax.