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yes, any part of the solar credit that is unused will carry forward.  You can see that on Form 5695..look at line 16.  This is the 2022 form and indicates a carryover to 2023.  If you are asking about 2023, when form 5695 is updated, line 16 will indicate a carryover to 2024. 

 

https://www.irs.gov/pub/irs-pdf/f5695.pdf