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Simplifying -4y3 + -12y4 + 40y3 = 0 Reorder the terms: -4y3 + 40y3 + -12y4 = 0 Combine like terms: -4y3 + 40y3 = 36y3 36y3 + -12y4 = 0 Solving 36y3 + -12y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '12y3'. 12y3(3 + -1y) = 0 Ignore the factor 12.Subproblem 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 '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 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 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {3}
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