Government can't solve affordable housing. It is the problem causing unaffordable housing.

Housing affordability is 100% because we let people tell their neighbors they cannot build as much housing as they want to, where they need to build it more slowly. There's no middle ground, there are no acceptable structures of land use law if you want affordability. If you get to tell your neighbor how much housing they can produce, bureaucracy will form around that and it will drive up the price of housing.