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Simplifying 2y = 2y(y + -1) Reorder the terms: 2y = 2y(-1 + y) 2y = (-1 * 2y + y * 2y) 2y = (-2y + 2y2) Solving 2y = -2y + 2y2 Solving for variable 'y'. Combine like terms: 2y + 2y = 4y 4y + -2y2 = -2y + 2y2 + 2y + -2y2 Reorder the terms: 4y + -2y2 = -2y + 2y + 2y2 + -2y2 Combine like terms: -2y + 2y = 0 4y + -2y2 = 0 + 2y2 + -2y2 4y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 4y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(2 + -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 '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Solution
y = {0, 2}
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