$-y^2 - 5y -4$
Work Step by Step
We simplify by removing the parentheses and then add the like terms as follows: $$ (y^2 - 2y +1)- (2y^2+ 3y + 5)\\ =y^2 - 2y +1- 2y^2- 3y -5\\ =-y^2 - 5y -4 .$$
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