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