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Doug Flutie threw three TD passes and Eric Moulds had six catches for 122 yards, including a 49-yard score.
The Bills (4-1) collected their fourth straight victory after a sloppy season-opening loss to Indianapolis and ended the day with a share of first place in the AFC East with the Patriots, who fell to Kansas City on a missed field goal.
Pittsburgh (2-3) lost its third in a row and suffered its first road loss. But the Steelers did find some of their missing offense.
Kordell Stewart, who went into the game with one touchdown pass and 11 interceptions in his last eight starts, completed 21 of 29 passes for 216 yards and two touchdowns.
