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Simplifying 2zy + 4z + y = 2 + -1y Reorder the terms: y + 2yz + 4z = 2 + -1y Solving y + 2yz + 4z = 2 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. y + 2yz + y + 4z = 2 + -1y + y Reorder the terms: y + y + 2yz + 4z = 2 + -1y + y Combine like terms: y + y = 2y 2y + 2yz + 4z = 2 + -1y + y Combine like terms: -1y + y = 0 2y + 2yz + 4z = 2 + 0 2y + 2yz + 4z = 2 Add '-4z' to each side of the equation. 2y + 2yz + 4z + -4z = 2 + -4z Combine like terms: 4z + -4z = 0 2y + 2yz + 0 = 2 + -4z 2y + 2yz = 2 + -4z Reorder the terms: -2 + 2y + 2yz + 4z = 2 + -4z + -2 + 4z Reorder the terms: -2 + 2y + 2yz + 4z = 2 + -2 + -4z + 4z Combine like terms: 2 + -2 = 0 -2 + 2y + 2yz + 4z = 0 + -4z + 4z -2 + 2y + 2yz + 4z = -4z + 4z Combine like terms: -4z + 4z = 0 -2 + 2y + 2yz + 4z = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + y + yz + 2z) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + y + yz + 2z)' equal to zero and attempt to solve: Simplifying -1 + y + yz + 2z = 0 Solving -1 + y + yz + 2z = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + y + yz + 1 + 2z = 0 + 1 Reorder the terms: -1 + 1 + y + yz + 2z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y + yz + 2z = 0 + 1 y + yz + 2z = 0 + 1 Combine like terms: 0 + 1 = 1 y + yz + 2z = 1 Add '-2z' to each side of the equation. y + yz + 2z + -2z = 1 + -2z Combine like terms: 2z + -2z = 0 y + yz + 0 = 1 + -2z y + yz = 1 + -2z 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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