I am so sorry. These things are so difficult!
You will need to deal with your daughter as though she is a stranger who was renting a room from you and stopped paying rent.
That means you do everything in writing from now on, and keep copies. Everything you write should be dated and signed.
If you would let her stay if she stops drinking, then have her sign a landlord/tenant agreement (you can buy these at places like Office Depot, Staples, etc, usually - call first - or download them).
If you want her to leave regardless, you will need to give her written notice under the landlord/tenant law.
Here is a starting point for information: http://www.michbar.org/generalinfo/libraries/ltlaw.cfm
Technically, your daughter is not a "tenant" as defined by the law, because she doesn't pay anything.
I'd still follow the standard eviction law, which requires a court to issue an order.
Fortunately, Michigan has an on-line guide that will give you better step by step instructions than I'd have room for here: http://rhol.org/csu/evictions/Michigan/MichiganSteps.htm
Best of all, that website has all the eviction notices you need, for free! (Just scroll down the page to the end to find the forms).
May I be of any further help? If so, just write back!
All my best,