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Simplifying y(40 + -1y) = 0 (40 * y + -1y * y) = 0 (40y + -1y2) = 0 Solving 40y + -1y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(40 + -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 '(40 + -1y)' equal to zero and attempt to solve: Simplifying 40 + -1y = 0 Solving 40 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1y = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1y = 0 + -40 -1y = 0 + -40 Combine like terms: 0 + -40 = -40 -1y = -40 Divide each side by '-1'. y = 40 Simplifying y = 40Solution
y = {0, 40}
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