Raul Jimenez pulled a goal back for Wolves with a powerful header in the 78th, after Daniel Podence cheekily kicked the ball between De Bruyne’s legs, ran round him to collect the ball and curled a cross over for his fellow forward.
Gabriel Jesus made the game safe with a deflected third for City in the fifth minute of injury time after De Bruyne helped to win the ball back.
With Liverpool — its biggest rival for the title — already on two wins from two matches, City was under pressure to avoid an early slip-up after starting the season late owing to its involvement in the latter stages of the Champions League in August.
“Wolves has been a bogey team for us the last seasons,” De Bruyne said, “so to come here and win is encouraging.”
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