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Simplifying -2y2 + -8y = 8 Reorder the terms: -8y + -2y2 = 8 Solving -8y + -2y2 = 8 Solving for variable 'y'. Reorder the terms: -8 + -8y + -2y2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -8y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(4 + 4y + y2) = 0 Factor a trinomial. -2((2 + y)(2 + y)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Solution
y = {-2, -2}
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