Look at your lease, first. Where the lease is silent you look to landlord tenant law. In Washington the landlord has a duty to mitigate, which simply means if they lease to someone else you don’t have to pay rent for the time period the apartment is occupied; the can’t “double dip.” Obviously, if you can find a sublessor or someone to take over the lease it is to your benefit. Also, an eviction takes time and is costly so if you want to play hardball offer them something like 4k and say “take it or evict me.” They can always tell you to go choke, of course. Also, your municipality may have specific other lease limitations, especially Seattle/ Puget Sound.