You want answers on how to reduce Michigan State taxes. I have attached a link that has the more info about Michican tax rate which is 4.25% and also the exemption for single and married. Please verify if there were enough taxes withheld via payroll throughout the year.
https://www.bankrate.com/taxes/michigan-state-taxes/
Without any additional info such as income, deductions, etc.; I am unable to determine if there are other deductions that may have been overlooked.
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