With no deal on teacher evaluations, Mayor Michael Bloomberg presented a new budget that eliminates 2500 teaching positions, after school programs, books and other classroom supplies.

The annual city budget dance has ended, and the City Council and Mayor Michael R. Bloomberg have waltzed to a deal for $68.5 billion that includes no tax increases, no firehouse closings, no widespread layoffs of teachers or others — and, in fact, slight increases to some services for children and families.

The annual city budget tug-of-war has begun. While the City Council, which must approve the budget, is happy that the mayor will use $466 million from the CityTime scandal to hire 2,570 more teachers, forces are amassing to restore millions of city dollars that have provided after-school and child care services.

There is good news for city schools in the executive budget that Mayor Michael R. Bloomberg will unveil on Thursday, Gotham Schools reports. As Chancellor Dennis M. Walcott had promised, the budget will not include cuts to schools, relieving fears that as many as 2,500 teaching positions would be lost to attrition.

For the first time in three years, New York City teachers are not being threatened with layoffs, “unless something dramatic happens,” Mayor Michael R. Bloomberg said, announcing his preliminary budget on Thursday.