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Simplifying y = 3xy Solving y = 3xy Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3xy' to each side of the equation. -3xy + y = 3xy + -3xy Combine like terms: 3xy + -3xy = 0 -3xy + y = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-3x + 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 '(-3x + 1)' equal to zero and attempt to solve: Simplifying -3x + 1 = 0 Reorder the terms: 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Add '3x' to each side of the equation. -3x + 3x = -1 + 3x Combine like terms: -3x + 3x = 0 0 = -1 + 3x Simplifying 0 = -1 + 3x 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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