Phil Foden fired City on their way to a 17th successive win in all competitions with a right-footed shot which hit Everton substitute Seamus Coleman on its way past Jordan Pickford.
Hard-working Everton were back on level terms five minutes later, Lucas Digne’s powerful attempt coming back off the post and hitting Richarlison before flying over the line.
However, a wonderful curling finish from 18 yards by Riyad Mahrez restored City’s lead before Bernardo Silva beat Pickford from a similar distance in the closing stages.
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