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Simplifying 6y = y2 + -3y Reorder the terms: 6y = -3y + y2 Solving 6y = -3y + y2 Solving for variable 'y'. Combine like terms: 6y + 3y = 9y 9y + -1y2 = -3y + y2 + 3y + -1y2 Reorder the terms: 9y + -1y2 = -3y + 3y + y2 + -1y2 Combine like terms: -3y + 3y = 0 9y + -1y2 = 0 + y2 + -1y2 9y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 9y + -1y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(9 + -1y) = 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 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 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 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9Solution
y = {0, 9}
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