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Simplifying 12y + y2 = 6y Solving 12y + y2 = 6y Solving for variable 'y'. Reorder the terms: 12y + -6y + y2 = 6y + -6y Combine like terms: 12y + -6y = 6y 6y + y2 = 6y + -6y Combine like terms: 6y + -6y = 0 6y + y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(6 + 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 '(6 + y)' equal to zero and attempt to solve: Simplifying 6 + y = 0 Solving 6 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + y = 0 + -6 y = 0 + -6 Combine like terms: 0 + -6 = -6 y = -6 Simplifying y = -6Solution
y = {0, -6}
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