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Simplifying 3z + 6yz = 3y Reorder the terms: 6yz + 3z = 3y Solving 6yz + 3z = 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 6yz + -3y + 3z = 3y + -3y Reorder the terms: -3y + 6yz + 3z = 3y + -3y Combine like terms: 3y + -3y = 0 -3y + 6yz + 3z = 0 Add '-3z' to each side of the equation. -3y + 6yz + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 -3y + 6yz + 0 = 0 + -3z -3y + 6yz = 0 + -3z Remove the zero: -3y + 6yz = -3z Combine like terms: -3z + 3z = 0 -3y + 6yz + 3z = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1y + 2yz + z) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1y + 2yz + z)' equal to zero and attempt to solve: Simplifying -1y + 2yz + z = 0 Solving -1y + 2yz + z = 0 Move all terms containing y to the left, all other terms to the right. Add '-1z' to each side of the equation. -1y + 2yz + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 -1y + 2yz + 0 = 0 + -1z -1y + 2yz = 0 + -1z Remove the zero: -1y + 2yz = -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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