Some figures here showing what will happen after 7 November 2016:
https://speye.wordpress.com/2016/01/...g-for-dummies/
Supported housing & hostels look to be among the main losers from the lowering of the benefit cap:
The two main ways to avoid the benefit cap are to move to cheaper accomodation (usually by leaving the capital for those in London) or to take a part time job over 16 hours a week (there are different rules for those who have been migrated over to Universal Credit).
All very well if a person is able to do this.