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Simplifying y2 + -1y = 8y Reorder the terms: -1y + y2 = 8y Solving -1y + y2 = 8y Solving for variable 'y'. Reorder the terms: -1y + -8y + y2 = 8y + -8y Combine like terms: -1y + -8y = -9y -9y + y2 = 8y + -8y Combine like terms: 8y + -8y = 0 -9y + y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-9 + 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 '(-9 + y)' equal to zero and attempt to solve: Simplifying -9 + y = 0 Solving -9 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + y = 0 + 9 y = 0 + 9 Combine like terms: 0 + 9 = 9 y = 9 Simplifying y = 9Solution
y = {0, 9}
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