Representatives have about three dozen amendments to consider Thursday afternoon when they take up the first substantive legislation of the term, a $425 million mini-budget meant to both fund the emergency shelter program and make large-scale changes to the state’s response to family homelessness.

The $425 million that the bill injects into the emergency assistance system is supposed to keep it afloat through the end of June, while also imposing a new six-month limit on how long families can stay in shelter.