Brewster sealed derby day spoils for Sheffield United as they earned a 1-0 victory over Sheffield Wednesday to move level on points with table toppers Leeds.
Marcus Harness scored a late winner as Derby claimed a narrow 3-2 Championship victory over bottom side Plymouth to ease their own relegation worries.
Burnley moved into the top two in the Sky Bet Championship with a comfortable 2-0 victory over Swansea at the Swansea.com Stadium.
Siriki Dembele struck eight minutes from time to give Oxford a crucial 1-0 victory over 10-playerWatford and their first win in 10 Championship matches.
Luton's hopes of staying in the Championship received another huge blow as their wastefulness in front of goal cost them dear during a 0-0 draw with Middlesbrough.
Haji Wright scored a hat-trick as Coventry moved back into the play-off places with a 3-0 victory over fourth-placed Sunderland at the CBS Arena.
Cardiff substitute Yakou Meite scored with his first touch to give relegation-threatened Bluebirds a priceless 2-1 win at Blackburn.
West Brom's Isaac Price scored his first goal in English football but his side were pegged back by Hull's late revival in a 1-1 Sky Bet Championship draw.
Stefan Thordarson scored just his second goal of the season to earn Preston a late 2-1 victory over Portsmouth in the Sky Bet Championship.
Sky Bet Championship leaders Leeds came back from two down to rescue a point in a 2-2 draw at QPR.
Mihailo Ivanovic's stoppage-time penalty snatched a 1-0 victory for Millwall against Sky Bet Championship strugglers Stoke.
Hull moved above Oxford in the Sky Bet Championship table with a crucial 2-1 win at the MKM Stadium.
Goals from Mark Sykes and Nahki Wells took Bristol City into the Championship play-off places with a 2-1 victory over Norwich at Ashton Gate.
Watford earned only their second home win since Boxing Day with a 1-0 victory over Swansea in the Championship.
Plymouth recorded their first Sky Bet Championship away win of the season as they beat Portsmouth 2-1 at Fratton Park to boost their survival hopes.
Ao Tanaka's late thunderbolt helped seal Leeds a 2-0 home win against Millwall and lift them back to the top of the Sky Bet Championship.
Luton claimed a precious 2-1 victory over Cardiff in their Championship relegation battle.
Tommy Conway and Anfernee Dijksteel struck either side of half-time as Middlesbrough beat QPR 2-1 to edge themselves to within three points of the play-off places.
Sheffield Wednesday produced a superb second-half comeback to beat Norwich 3-2 at Carrow Road and keep their outside hopes of making the Championship play-offs alive.
Romaine Mundle's brilliant equaliser snatched a point for Sky Bet Championship promotion hopefuls Sunderland in a 1-1 draw with Preston at the Stadium of Light.