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Simplifying y2 + 2y + 2 = -4y + -3 Reorder the terms: 2 + 2y + y2 = -4y + -3 Reorder the terms: 2 + 2y + y2 = -3 + -4y Solving 2 + 2y + y2 = -3 + -4y Solving for variable 'y'. Reorder the terms: 2 + 3 + 2y + 4y + y2 = -3 + -4y + 3 + 4y Combine like terms: 2 + 3 = 5 5 + 2y + 4y + y2 = -3 + -4y + 3 + 4y Combine like terms: 2y + 4y = 6y 5 + 6y + y2 = -3 + -4y + 3 + 4y Reorder the terms: 5 + 6y + y2 = -3 + 3 + -4y + 4y Combine like terms: -3 + 3 = 0 5 + 6y + y2 = 0 + -4y + 4y 5 + 6y + y2 = -4y + 4y Combine like terms: -4y + 4y = 0 5 + 6y + y2 = 0 Factor a trinomial. (5 + y)(1 + y) = 0Subproblem 1
Set the factor '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {-5, -1}
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