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Simplifying 2y = -8xy Solving 2y = -8xy Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8xy' to each side of the equation. 8xy + 2y = -8xy + 8xy Combine like terms: -8xy + 8xy = 0 8xy + 2y = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(4x + 1) = 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 '(4x + 1)' equal to zero and attempt to solve: Simplifying 4x + 1 = 0 Reorder the terms: 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Add '-4x' to each side of the equation. 4x + -4x = -1 + -4x Combine like terms: 4x + -4x = 0 0 = -1 + -4x Simplifying 0 = -1 + -4x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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