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Simplifying 16yz + -12z + -24y + 18 = 0 Reorder the terms: 18 + -24y + 16yz + -12z = 0 Solving 18 + -24y + 16yz + -12z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -24y + 16yz + -18 + -12z = 0 + -18 Reorder the terms: 18 + -18 + -24y + 16yz + -12z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -24y + 16yz + -12z = 0 + -18 -24y + 16yz + -12z = 0 + -18 Combine like terms: 0 + -18 = -18 -24y + 16yz + -12z = -18 Add '12z' to each side of the equation. -24y + 16yz + -12z + 12z = -18 + 12z Combine like terms: -12z + 12z = 0 -24y + 16yz + 0 = -18 + 12z -24y + 16yz = -18 + 12z Reorder the terms: 18 + -24y + 16yz + -12z = -18 + 12z + 18 + -12z Reorder the terms: 18 + -24y + 16yz + -12z = -18 + 18 + 12z + -12z Combine like terms: -18 + 18 = 0 18 + -24y + 16yz + -12z = 0 + 12z + -12z 18 + -24y + 16yz + -12z = 12z + -12z Combine like terms: 12z + -12z = 0 18 + -24y + 16yz + -12z = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -12y + 8yz + -6z) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -12y + 8yz + -6z)' equal to zero and attempt to solve: Simplifying 9 + -12y + 8yz + -6z = 0 Solving 9 + -12y + 8yz + -6z = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -12y + 8yz + -9 + -6z = 0 + -9 Reorder the terms: 9 + -9 + -12y + 8yz + -6z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -12y + 8yz + -6z = 0 + -9 -12y + 8yz + -6z = 0 + -9 Combine like terms: 0 + -9 = -9 -12y + 8yz + -6z = -9 Add '6z' to each side of the equation. -12y + 8yz + -6z + 6z = -9 + 6z Combine like terms: -6z + 6z = 0 -12y + 8yz + 0 = -9 + 6z -12y + 8yz = -9 + 6z 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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