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Simplifying (3z + 27) * 4y = 6x Reorder the terms: (27 + 3z) * 4y = 6x Reorder the terms for easier multiplication: 4y(27 + 3z) = 6x (27 * 4y + 3z * 4y) = 6x (108y + 12yz) = 6x Solving 108y + 12yz = 6x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Reorder the terms: -6x + 108y + 12yz = 6x + -6x Combine like terms: 6x + -6x = 0 -6x + 108y + 12yz = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-1x + 18y + 2yz) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-1x + 18y + 2yz)' equal to zero and attempt to solve: Simplifying -1x + 18y + 2yz = 0 Solving -1x + 18y + 2yz = 0 Move all terms containing y to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + 18y + x + 2yz = 0 + x Reorder the terms: -1x + x + 18y + 2yz = 0 + x Combine like terms: -1x + x = 0 0 + 18y + 2yz = 0 + x 18y + 2yz = 0 + x Remove the zero: 18y + 2yz = x 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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