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Simplifying -35yz + -5y2 = 40y Solving -35yz + -5y2 = 40y Solving for variable 'y'. Reorder the terms: -40y + -35yz + -5y2 = 40y + -40y Combine like terms: 40y + -40y = 0 -40y + -35yz + -5y2 = 0 Factor out the Greatest Common Factor (GCF), '-5y'. -5y(8 + 7z + y) = 0 Ignore the factor -5.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 '(8 + 7z + y)' equal to zero and attempt to solve: Simplifying 8 + 7z + y = 0 Reorder the terms: 8 + y + 7z = 0 Solving 8 + y + 7z = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + y + -8 + 7z = 0 + -8 Reorder the terms: 8 + -8 + y + 7z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + y + 7z = 0 + -8 y + 7z = 0 + -8 Combine like terms: 0 + -8 = -8 y + 7z = -8 Add '-7z' to each side of the equation. y + 7z + -7z = -8 + -7z Combine like terms: 7z + -7z = 0 y + 0 = -8 + -7z y = -8 + -7z Simplifying y = -8 + -7zSolution
y = {0, -8 + -7z}
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