Donna Harvey spent some of this summer's hottest days searching for a place to live.

Beginning July 1, she knew city marshals could show up at her Jamaica home any day to evict her. So, she texted a long list of landlords. She trekked to the Bronx to seek help at a housing intake center. And with her 4-year-old son in tow, she checked into a shelter in Queens that was so sweltering she and her son couldn’t sleep.

“We couldn’t even close our eyes,” she said. “It was just that bad. It was very suffocating.”

Harvey’s experience is not unique. New Yorkers frequently navigate the upheaval of an eviction during the hot summer months. On June 23, when a blazing heat wave was blanketing the city, there were 59 evictions, according to a new report from the nonprofit Legal Services NYC, which r

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