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Simplifying -4(2x + -2) + y = -8x + 20 + 2x Reorder the terms: -4(-2 + 2x) + y = -8x + 20 + 2x (-2 * -4 + 2x * -4) + y = -8x + 20 + 2x (8 + -8x) + y = -8x + 20 + 2x Reorder the terms: 8 + -8x + y = 20 + -8x + 2x Combine like terms: -8x + 2x = -6x 8 + -8x + y = 20 + -6x Solving 8 + -8x + y = 20 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + -8x + 6x + y = 20 + -6x + 6x Combine like terms: -8x + 6x = -2x 8 + -2x + y = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + -2x + y = 20 + 0 8 + -2x + y = 20 Add '-8' to each side of the equation. 8 + -2x + -8 + y = 20 + -8 Reorder the terms: 8 + -8 + -2x + y = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -2x + y = 20 + -8 -2x + y = 20 + -8 Combine like terms: 20 + -8 = 12 -2x + y = 12 Add '-1y' to each side of the equation. -2x + y + -1y = 12 + -1y Combine like terms: y + -1y = 0 -2x + 0 = 12 + -1y -2x = 12 + -1y Divide each side by '-2'. x = -6 + 0.5y Simplifying x = -6 + 0.5y
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