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Simplifying -5y3(y + -6) + 4y3(y + -7) = 0 Reorder the terms: -5y3(-6 + y) + 4y3(y + -7) = 0 (-6 * -5y3 + y * -5y3) + 4y3(y + -7) = 0 (30y3 + -5y4) + 4y3(y + -7) = 0 Reorder the terms: 30y3 + -5y4 + 4y3(-7 + y) = 0 30y3 + -5y4 + (-7 * 4y3 + y * 4y3) = 0 30y3 + -5y4 + (-28y3 + 4y4) = 0 Reorder the terms: 30y3 + -28y3 + -5y4 + 4y4 = 0 Combine like terms: 30y3 + -28y3 = 2y3 2y3 + -5y4 + 4y4 = 0 Combine like terms: -5y4 + 4y4 = -1y4 2y3 + -1y4 = 0 Solving 2y3 + -1y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y3'. y3(2 + -1y) = 0Subproblem 1
Set the factor 'y3' equal to zero and attempt to solve: Simplifying y3 = 0 Solving y3 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Solution
y = {2}
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