It was from a Fernandinho pass on 12 minutes that the Belgian helped create the opener for Bony.
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De Bruyne stung the palms of Jakupovi with a powerful drive 10 minutes into the second half as City pushed for the second goal required to kill off the visitors.
Kevin De Bruyne added gloss to the scoreline late on with a pair of goals-including a floated free kick which Eldin Jakupovic should probably have dealt with.
He latched on to Andrew Roberton’s misguided header to slide in the third before firing home a free-kick from the edge of the area.
Nearly by accident, Hull City hung in the tie, despite the teamsheet alone suggesting that Steve Bruce really could do without the inconvenience of a cup run.
“I think it’s hard, but as a manger you want to be involved in all competitions”, he said.
“Everything was very good except for a fifth yellow card for [Eliaquim] Mangala [who now faces a one-game suspension]”.
“I’m very happy for De Bruyne also, for Kelechi, for Bony after a long injury”.
But Bruce defended his decision to make so many changes.
“If we needed a reminder how cruel it was to play against the big boys, we just had one”. Up until 81 minutes, we were in there.
Everton have scored 14 goals in their four games in November, notably crushing Newcastle United 6-2, overwhelming Aston Villa 4-0 and playing out a gripping 3-3 draw at Bournemouth on Saturday.
Hull are every bit as committed to supplying unders as Man City are to serving up overs, if not more given that 15 of their last 17 fixtures in all competitions and at all venues have finished with two strikes or fewer.
City were ahead just seven minutes later and the Tigers only had themselves to blame. A mix-up between Ryan Taylor and Chuba Akpom saw them leave the ball to each other in midfield and City seized their chance.
He said: “I made a mistake, but even 800 games in you’ve still got to give yourself a smack now and again and say ‘what the hell are you doing?'”
Willy Caballero will continue in goal with Joe Hart still out injured.
“If we can spring a little upset ” or at least go as far as we can in the game without conceding ” then you know you are only one goal or a penalty away from getting through to the semi-finals”.
Jesus Navas fired a yard wide after Bony had headed down Silva’s cross.
Raheem Sterling made an instant impact from the bench to fire a low cross into the box which was gobbled up from close range by Iheanacho.
The Championship did bag a consolation in stoppage time, as Robertson played a neat one-two with Abel Hernandez, before lobbing Caballero.
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The gulf in class was evident from the off, with City pinning Bruce’s men deep inside their own half and dominating possession.
