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Simplifying (y + -4) * x * 2 = 2y + -8 Reorder the terms: (-4 + y) * x * 2 = 2y + -8 Reorder the terms for easier multiplication: 2x(-4 + y) = 2y + -8 (-4 * 2x + y * 2x) = 2y + -8 (-8x + 2xy) = 2y + -8 Reorder the terms: -8x + 2xy = -8 + 2y Solving -8x + 2xy = -8 + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Reorder the terms: 8 + -8x + 2xy + -2y = -8 + 2y + 8 + -2y Reorder the terms: 8 + -8x + 2xy + -2y = -8 + 8 + 2y + -2y Combine like terms: -8 + 8 = 0 8 + -8x + 2xy + -2y = 0 + 2y + -2y 8 + -8x + 2xy + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 8 + -8x + 2xy + -2y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -4x + xy + -1y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -4x + xy + -1y)' equal to zero and attempt to solve: Simplifying 4 + -4x + xy + -1y = 0 Solving 4 + -4x + xy + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4x + xy + -4 + -1y = 0 + -4 Reorder the terms: 4 + -4 + -4x + xy + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -4x + xy + -1y = 0 + -4 -4x + xy + -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -4x + xy + -1y = -4 Add 'y' to each side of the equation. -4x + xy + -1y + y = -4 + y Combine like terms: -1y + y = 0 -4x + xy + 0 = -4 + y -4x + xy = -4 + y 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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