City were rampant over a Newcastle side that struggled to contain their host's attacking threat, even before Steven Taylor was sent off before half-time for a stray arm on Sergio Aguero.
The France international, who was forced to play out of position at left-back following an injury to Davide Santon, is well aware that such defeats could significantly damage team morale, but wants the players to move on swiftly.
"It was difficult to lose and even more difficult to lose like that," Yanga-Mbiwa said.
"A 4-0 defeat does not look good on us. It was bad for the players and for the fans. But we must not let this result ruin our season.
"We have two home games coming up and it's up to us to work hard and move on from what happened."
Newcastle now face two home games against West Ham and Fulham, both of which games Steven Taylor will miss through suspension.