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Simplifying y = 4xyz Solving y = 4xyz Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4xyz' to each side of the equation. -4xyz + y = 4xyz + -4xyz Combine like terms: 4xyz + -4xyz = 0 -4xyz + y = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-4xz + 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 '(-4xz + 1)' equal to zero and attempt to solve: Simplifying -4xz + 1 = 0 Reorder the terms: 1 + -4xz = 0 Solving 1 + -4xz = 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 + -4xz = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4xz = 0 + -1 -4xz = 0 + -1 Combine like terms: 0 + -1 = -1 -4xz = -1 Add '4xz' to each side of the equation. -4xz + 4xz = -1 + 4xz Combine like terms: -4xz + 4xz = 0 0 = -1 + 4xz Simplifying 0 = -1 + 4xz 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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