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Simplifying y(1 + -1y) = 6y (1 * y + -1y * y) = 6y (1y + -1y2) = 6y Solving 1y + -1y2 = 6y Solving for variable 'y'. Reorder the terms: 1y + -6y + -1y2 = 6y + -6y Combine like terms: 1y + -6y = -5y -5y + -1y2 = 6y + -6y Combine like terms: 6y + -6y = 0 -5y + -1y2 = 0 Factor out the Greatest Common Factor (GCF), '-1y'. -1y(5 + y) = 0 Ignore the factor -1.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 '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5Solution
y = {0, -5}
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