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