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Simplifying X * 4y = 4x * y Reorder the terms for easier multiplication: 4X * y = 4x * y Multiply X * y 4yX = 4x * y Multiply x * y 4yX = 4xy Solving 4yX = 4xy Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4xy' to each side of the equation. -4xy + 4yX = 4xy + -4xy Combine like terms: 4xy + -4xy = 0 -4xy + 4yX = 0 Factor out the Greatest Common Factor (GCF), '4y'. 4y(-1x + X) = 0 Ignore the factor 4.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 '(-1x + X)' equal to zero and attempt to solve: Simplifying -1x + X = 0 Reorder the terms: X + -1x = 0 Solving X + -1x = 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 + -1x = 0 + -1X Combine like terms: X + -1X = 0 0 + -1x = 0 + -1X -1x = 0 + -1X Remove the zero: -1x = -1X Add 'x' to each side of the equation. -1x + x = -1X + x Combine like terms: -1x + x = 0 0 = -1X + x Simplifying 0 = -1X + x 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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