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Simplifying 2y(y + 3) = 2y + 6y Reorder the terms: 2y(3 + y) = 2y + 6y (3 * 2y + y * 2y) = 2y + 6y (6y + 2y2) = 2y + 6y Combine like terms: 2y + 6y = 8y 6y + 2y2 = 8y Solving 6y + 2y2 = 8y Solving for variable 'y'. Reorder the terms: 6y + -8y + 2y2 = 8y + -8y Combine like terms: 6y + -8y = -2y -2y + 2y2 = 8y + -8y Combine like terms: 8y + -8y = 0 -2y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(-1 + y) = 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 '(-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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