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