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Simplifying y2 + -6y = 3y + -1y Reorder the terms: -6y + y2 = 3y + -1y Combine like terms: 3y + -1y = 2y -6y + y2 = 2y Solving -6y + y2 = 2y Solving for variable 'y'. Reorder the terms: -6y + -2y + y2 = 2y + -2y Combine like terms: -6y + -2y = -8y -8y + y2 = 2y + -2y Combine like terms: 2y + -2y = 0 -8y + y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-8 + 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 '(-8 + y)' equal to zero and attempt to solve: Simplifying -8 + y = 0 Solving -8 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + y = 0 + 8 y = 0 + 8 Combine like terms: 0 + 8 = 8 y = 8 Simplifying y = 8Solution
y = {0, 8}
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