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Simplifying y = 3xy * 2 Reorder the terms for easier multiplication: y = 3 * 2xy Multiply 3 * 2 y = 6xy Solving y = 6xy Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6xy' to each side of the equation. -6xy + y = 6xy + -6xy Combine like terms: 6xy + -6xy = 0 -6xy + y = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-6x + 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 '(-6x + 1)' equal to zero and attempt to solve: Simplifying -6x + 1 = 0 Reorder the terms: 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Add '6x' to each side of the equation. -6x + 6x = -1 + 6x Combine like terms: -6x + 6x = 0 0 = -1 + 6x Simplifying 0 = -1 + 6x 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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