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