Should I Kick him Out ?!

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I was with this man for 7 years He was Amazing he was loyal We gave each other our all for 7 years and Two weeks ago he broke down told me he was confused He didn’t know what he wanted in life anymore. He cheated on me. He quit is dream job he now comes home around 3am every day drunk I don’t even wanna think about what he’s doing. He used to be an amazing dad now he doesn’t even send me a Text asking for his daughter. I’m so disappointed I don’t recognize this man anymore. I want a divorce He Betrayed me in the worst way and I won’t ever forgive him. Idk if I should kick him out though he has no were to go He saies he will sleep in his car but it makes me feel terrible. He is supposed to ne looking for a new place but hes so busy that I doubt he’s looking What do u guys think ?