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Simplifying 3y + -1yz = 2zfory Solving 3y + -1yz = 2foryz Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2foryz' to each side of the equation. 3y + -2foryz + -1yz = 2foryz + -2foryz Reorder the terms: -2foryz + 3y + -1yz = 2foryz + -2foryz Combine like terms: 2foryz + -2foryz = 0 -2foryz + 3y + -1yz = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-2forz + 3 + -1z) = 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 '(-2forz + 3 + -1z)' equal to zero and attempt to solve: Simplifying -2forz + 3 + -1z = 0 Reorder the terms: 3 + -2forz + -1z = 0 Solving 3 + -2forz + -1z = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -2forz + -3 + -1z = 0 + -3 Reorder the terms: 3 + -3 + -2forz + -1z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2forz + -1z = 0 + -3 -2forz + -1z = 0 + -3 Combine like terms: 0 + -3 = -3 -2forz + -1z = -3 Add '2forz' to each side of the equation. -2forz + 2forz + -1z = -3 + 2forz Combine like terms: -2forz + 2forz = 0 0 + -1z = -3 + 2forz -1z = -3 + 2forz Add 'z' to each side of the equation. -1z + z = -3 + 2forz + z Combine like terms: -1z + z = 0 0 = -3 + 2forz + z Simplifying 0 = -3 + 2forz + z 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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