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Simplifying (2y + -1)(-1y) = 0 Reorder the terms: (-1 + 2y)(-1y) = 0 Remove parenthesis around (-1y) (-1 + 2y) * -1y = 0 Reorder the terms for easier multiplication: -1y(-1 + 2y) = 0 (-1 * -1y + 2y * -1y) = 0 (1y + -2y2) = 0 Solving 1y + -2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(1 + -2y) = 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 '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {0, 0.5}
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