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Simplifying 7y + -1(-4y + 1) * y = 0 Reorder the terms: 7y + -1(1 + -4y) * y = 0 Reorder the terms for easier multiplication: 7y + -1y(1 + -4y) = 0 7y + (1 * -1y + -4y * -1y) = 0 7y + (-1y + 4y2) = 0 Combine like terms: 7y + -1y = 6y 6y + 4y2 = 0 Solving 6y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(3 + 2y) = 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 '(3 + 2y)' equal to zero and attempt to solve: Simplifying 3 + 2y = 0 Solving 3 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 0 + -3 2y = 0 + -3 Combine like terms: 0 + -3 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5Solution
y = {0, -1.5}
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