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Simplifying 2y(2y + 3) = 6y(y + -1) Reorder the terms: 2y(3 + 2y) = 6y(y + -1) (3 * 2y + 2y * 2y) = 6y(y + -1) (6y + 4y2) = 6y(y + -1) Reorder the terms: 6y + 4y2 = 6y(-1 + y) 6y + 4y2 = (-1 * 6y + y * 6y) 6y + 4y2 = (-6y + 6y2) Solving 6y + 4y2 = -6y + 6y2 Solving for variable 'y'. Reorder the terms: 6y + 6y + 4y2 + -6y2 = -6y + 6y2 + 6y + -6y2 Combine like terms: 6y + 6y = 12y 12y + 4y2 + -6y2 = -6y + 6y2 + 6y + -6y2 Combine like terms: 4y2 + -6y2 = -2y2 12y + -2y2 = -6y + 6y2 + 6y + -6y2 Reorder the terms: 12y + -2y2 = -6y + 6y + 6y2 + -6y2 Combine like terms: -6y + 6y = 0 12y + -2y2 = 0 + 6y2 + -6y2 12y + -2y2 = 6y2 + -6y2 Combine like terms: 6y2 + -6y2 = 0 12y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(6 + -1y) = 0 Ignore the factor 2.Subproblem 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 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 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 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Solution
y = {0, 6}
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