There's a lot of background here that we've not been made aware of.
You are obligated to provide and care for her at least until she's 18. What is the story? Is dad around? Sounds like a rocky relationship that did not just start at 18.
Are you talking TO her or AT her? Do you listen to her? Did she finish high school? Are drugs an issue? Is she in college? She should be. Is she working? Why are you so strict? Are you making it so she does not want to live with you?
It's your house and your rules but in my opinion you are also part of the problem.. communication being a big one. There are always 2 sides of the story.... I'd like to hear her side.
Get counseling for the family. Show some compassion for your daughter. Remember when you were 18.
My 22 year old lives on her own and is in college. STILL... if she lived under my roof at 18, I would never expect her to pay rent.
My job is to raise a confident child who's ready to leave the nest and be independent.
Something, somewhere along the line got off kilter with your daughter. Get help, figure it out so hopefully you with both have a healthy relationship with each other. If you don't... you may not be in her life once she manages to get out from under your rule.