(New York Times) — New York’s $66 billion budget, which the City Council is set to approve on Tuesday, averted the laying off of thousands of teachers that Mayor Michael R. Bloomberg had said would be necessary. But the plan does not spare the schools from cuts. The schools chancellor, Dennis M. Walcott, told principals on Monday that individual school budgets would decline by an average of 2.4 percent, forcing tough choices about what — or whom — they can do without. Parent coordinators at high schools could be let go, after-school programs could end and teaching positions could be purged, prompting schools to consolidate classes and eliminate elective courses. The city does not plan to replace an estimated 2,600 teachers who are expected to retire or resign this summer, so one result is inevitable: Class sizes will increase.