The Senate is voting on the first steps to end the 40-day government shutdown Sunday after a group of moderate Democrats agreed to proceed without a guaranteed extension of health care subsidies, angering many in their caucus who wanted to continue the fight.

The group of three former governors — New Hampshire Sen. Jeanne Shaheen, New Hampshire Sen. Maggie Hassan and Independent Sen. Angus King of Maine — said they would vote to reopen if the Senate passed three annual spending bills and extend the rest of government funding until late January. Senate Majority Leader John Thune endorsed the deal Sunday night and called an immediate vote to begin the process of approving it.

The deal would also include a future vote on the health care subsidies, which would not have a guaranteed outcome, and a reversal of the mass firings of federal workers that have happened since the shutdown began on Oct. 1. The full text of the deal has not yet been released.