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Simplifying y = -2xy Solving y = -2xy Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2xy' to each side of the equation. 2xy + y = -2xy + 2xy Combine like terms: -2xy + 2xy = 0 2xy + y = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(2x + 1) = 0Subproblem 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 '(2x + 1)' equal to zero and attempt to solve: Simplifying 2x + 1 = 0 Reorder the terms: 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Add '-2x' to each side of the equation. 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 0 = -1 + -2x Simplifying 0 = -1 + -2x 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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