Evan Turner added 22 points. Spencer Hawes had 19 points and eight rebounds for the Sixers, who hadn't won away from Philadelphia since their road opener on Nov. 1.
Young and Michael Carter-Williams contributed big points down the stretch as the last-place Sixers held on for just their second win in 11 games overall.
Nick Young scored 26 points on 6-for-21 shooting in the Lakers' fifth consecutive loss. Los Angeles also has lost five of six at Staples Center, winning just once at home since Nov. 24.
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