Last year, the House was able to control the Statehouse budget process by releasing low-ball state-revenue estimates early on and then vowing to stick to those numbers no matter what.
The Senate Democrats wanted to spend more money but were eventually stymied by the House's revenue estimates. There was just no way around the problem. Some Senate Democrats thought about forcing the spring session into overtime, but that would've been stupid because then the budget would've required a three-fifths majority to pass - and that would've given the Republicans a seat at the table. And the Republicans wouldn't want to spend more money.
It's too early to tell, but this year might be different. Last week, the House kicked off the budget process by locking in the chamber's new revenue estimates. The estimates are $221 million below the governor's revenue projections and $271 million below the projections released by the General Assembly's Commission on Government Forecasting & Accountability.