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The league made the announcement on Wednesday, a day after Cooke hit Columbus Blue Jackets defenseman Fedor Tyutin from behind in a 4-1 loss. Tyutin was pummeled face first into the boards. He quickly got back on his skates.
Cooke will miss Thursday's home game against Los Angeles, as well as road games vs. the Islanders, Rangers and Colorado.
He will forfeit $87,804.88 in salary. Cooke was also suspended for two games on Nov. 28, 2009.