Goals at the Etihad Stadium in Manchester were scored by David Silva (13), Gabriel Jesus (24, 72, 90+2), Raheem Sterling (49) and Riyad Mahrez (84), Ukrinform reports.
In another Group F match, France's Lyon played out a 2-2 draw with Germany's Hoffenheim.
Manchester City tops the table with nine points, followed by Lyon (six points), Hoffenheim (three points), and Shakhtar (two points).
In the fifth round on November 27, Hoffenheim will take on Shakhtar, and Lyon will play Manchester City.
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