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A poor match came to life with Brighton scoring, Rooney saving Koeman's side with a fortuitous penalty
Despite a bright attacking start, Burnley took the lead with an easy goal. Everton had no meaningful reply, with Koeman now under massive pressure.
After going behind to a fine Josh King goal, supersub Oumar Niasse came on to score twice and underline his newfound cult status.
Valencia scored a screamer after 4 minutes but Everton came close until they gave up three goals at the end after Rooney had gone off.
Everton’s showed some attacking intent but allowed Kane to score his first of the season before gifting a finish for Eriksen, and another for Kane after the break.
Everton tried to keep it tight, and gave up two goals in an abysmal first period.
Wayne Rooney scores his 200th Premier League goal and celebrates in fine style at The Etihad, where City are down to 10 men.
A dreadful half turned on its head with a lovely move, great cross and fine header from Wayne Rooney before the break.