The Boston Zoning Board of Appeals rejected an abutter’s appeal, clearing the way for a state contractor’s controversial plan to convert a former West Roxbury nursing home into a homeless shelter for families and migrants to proceed.

The ZBA voted, 6-1, Tuesday to uphold a city permit issued by the Inspectional Services Department allowing for a change of use to congregate living at 5 Redlands Road in West Roxbury, where the state plans to house up to 42 families.

“I think this is urgent, given the time,” ZBA member Shamaiah Turner said. “People are struggling right now, and it’s about to get worse. So I believe ISD was correct in issuing this permit.”

David Collins cast the lone dissenting vote, saying, “I believe that the proponents misled ISD by doctoring stamped and professional equ

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