The Ivorian began the Premier League campaign in style on Monday evening, netting from a free-kick in City's 4-0 demolition of Newcastle at the Etihad Stadium.
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City are looking for a resurgence under Pellegrini following a disappointing performance in defence of their league title last term, and Toure sees the proper motivation present for the club to prosper.
"This year we want to do the job," he added. "We want to work hard, keep it going, make it as difficult as possible for our opponents and try to be better and stronger.
"It's important for me and the club. I know how much everyone desires success and that our fans only want to see one Manchester club profit this season."