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