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Simplifying Xy = 2xy Solving yX = 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 + yX = 2xy + -2xy Combine like terms: 2xy + -2xy = 0 -2xy + yX = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-2x + X) = 0## 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 = 0## Subproblem 2

Set the factor '(-2x + X)' equal to zero and attempt to solve: Simplifying -2x + X = 0 Reorder the terms: X + -2x = 0 Solving X + -2x = 0 Move all terms containing y to the left, all other terms to the right. Add '-1X' to each side of the equation. X + -1X + -2x = 0 + -1X Combine like terms: X + -1X = 0 0 + -2x = 0 + -1X -2x = 0 + -1X Remove the zero: -2x = -1X Add '2x' to each side of the equation. -2x + 2x = -1X + 2x Combine like terms: -2x + 2x = 0 0 = -1X + 2x Simplifying 0 = -1X + 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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