Manchester City have won the Premier League title for a record fourth time in a row after beating West Ham 3-1 on the final day of the season.
Nearest challengers Arsenal scored late to get past Everton 2-1 - but it wasn't enough.
Luton's relegation is officially confirmed following their 4-2 defeat to Fulham.
Nottingham Forest celebrated staying up as they got past Burnley 2-1.
In the race for European qualification, Tottenham sealed fifth place with a 3-nil victory at Sheffield United.
Chelsea finish sixth after edging Bournemouth 2-1, Newcastle were 4-2 winners at Brentford to end up ahead of Manchester United - who beat Brighton 2-nil.
Liverpool manager Jurgen Klopp ended his nine-year spell at Anfield with a 2-nil triumph over Wolves.
Crystal Palace thrashed Aston Villa 5-nil.