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