The state unemployment rate in May fell to its lowest level in more than three years as Massachusetts employers added jobs for the sixth consecutive month, the Executive Office of Labor and Workforce Development reported Thursday. The jobless rate, which has declined steadily since last summer, dropped to 6 percent last month, from 6.3 percent in April, to reach the lowest level since September 2008. Employers increased payrolls by 7,500 jobs in May, after adding a revised 1,700 jobs in April
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