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Simplifying 22y = 11y(3 + y) 22y = (3 * 11y + y * 11y) 22y = (33y + 11y2) Solving 22y = 33y + 11y2 Solving for variable 'y'. Combine like terms: 22y + -33y = -11y -11y + -11y2 = 33y + 11y2 + -33y + -11y2 Reorder the terms: -11y + -11y2 = 33y + -33y + 11y2 + -11y2 Combine like terms: 33y + -33y = 0 -11y + -11y2 = 0 + 11y2 + -11y2 -11y + -11y2 = 11y2 + -11y2 Combine like terms: 11y2 + -11y2 = 0 -11y + -11y2 = 0 Factor out the Greatest Common Factor (GCF), '-11y'. -11y(1 + y) = 0 Ignore the factor -11.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 '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {0, -1}
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