Sunderland's win lifted them to 38 points, four ahead of Newcastle and Norwich, who beat Watford 4-2 on Wednesday, with one match of the season remaining.
Aston Villa have also been relegated to the Championship and are 17 points adrift at the bottom of the table.
Burnley and Middlesbrough will be promoted to the Premier League after finishing first and second in the Championship.
Brighton & Hove Albion, Hull City, Derby County and Sheffield Wednesday will contest the playoffs to decide the last promotion place.
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(Reporting by Ed Osmond; editing by Clare Fallon)
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