Many factors such as age, prosecutor discretion, what judge you have, whether witnesses are credible all matter and that makes it near impossible to say what type of time you'll do if this is prosecuted. It is simply possible the story your opponent comes up with about supposed welfare fraud will not be believed. There is a six year statute of limitations in Michigan for fraud.
Check with a lawyer in your locale to discuss more of the details. I do not practice in Michigan.
Good luck to you.
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