But some union members assert that the increase will be rejected in a rank-and-file vote.
He offered an alternative plan that would not have cut taxes nearly so much, but it was rejected, in a vote largely along party lines.
The full House today rejected a two-year extension in a separate vote.
House Republicans rejected the bill in a party-line vote of 229-193 and sent it to a conference committee.
Denmark rejected the plan in a vote last June.
It was rejected in a 17-51 vote on 24 April 2013.
But the House rejected that move in a 287 to 141 vote.
The bill was rejected in May 2012 in a 39 to 11 vote, with 70 not attending.
Business interests favored the bill, but the Senate rejected it in a vote that was not recorded.
Parents rejected the for-profit company in a vote doomed from the beginning.