Nearly two-thirds of Long Beach workers laid off last month will get their jobs back because of givebacks agreed to by a city employee union Friday, officials said.

The cash-strapped city shed 63 workers -- including blue- and white-collar employees and fire department staff -- during two rounds of layoffs in May. The job cuts were necessary for the city to make budget for 2012-13, officials said at the time.

But the Civil Service Employees Association unit Friday approved a concession package that saves 38 workers' jobs -- the number of employees shed in the second round of layoffs. The union approved the concessions -- which include a one-year wage freeze -- by a 195-22 vote, union and city officials said.

"We came together, and worked together, on an agreement that worked for the city," City Manager Jack Schnirman said.

The union givebacks include a one-year wage freeze, delayed wages because of two years of "lagged payroll," and an end to "uniform pay," which provides some employees money for uniforms, city officials said.

Workers will also receive compensatory time off, instead of money, for overtime hours worked for the next two years, officials said.

The agreement also includes a clause that guarantees no further layoffs for two years, officials said.

CSEA unit president John Mooney said negotiations with the city were "contentious at times," but the union was able to broker a deal.

"The CSEA stepped to the plate to help the city in the fiscal crisis, and to save jobs," Mooney said.

The city also laid off 42 nonunion part-timers in May, and will be able to retain "the majority" of them by instead cutting back hours, Schnirman said.

Long Beach officials spent the last several months wrangling with a projected $10.25 million budget deficit this fiscal year, which ends June 30. The city passed a balanced $88 million budget on May 22 that includes a plan to pay down the deficit over 10 years.

The budget included a 7.9 percent tax increase, the institution of a lag payroll, demotions and early retirements, and a host of other savings.

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