Strengthening Economic Development Through Affordable Housing Act of 2012 - Amends the State Small Business Credit Initiative Act of 2010 to allow states participating in the state small business credit initiative to provide funds to community housing development organizations to be used: (1) to develop, acquire, rehabilitate, maintain, operate, or manage housing projects for low- or moderate-income households; (2) to cover any matching, non-federal contribution required in connection with any other federal grant or assistance program providing such housing; or (3) to purchase foreclosed properties and property being sold by a state or local government in order to provide such housing.