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Simplifying -2(4x + -9) + -1y = -2(y + -5) Reorder the terms: -2(-9 + 4x) + -1y = -2(y + -5) (-9 * -2 + 4x * -2) + -1y = -2(y + -5) (18 + -8x) + -1y = -2(y + -5) Reorder the terms: 18 + -8x + -1y = -2(-5 + y) 18 + -8x + -1y = (-5 * -2 + y * -2) 18 + -8x + -1y = (10 + -2y) Solving 18 + -8x + -1y = 10 + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -8x + -18 + -1y = 10 + -18 + -2y Reorder the terms: 18 + -18 + -8x + -1y = 10 + -18 + -2y Combine like terms: 18 + -18 = 0 0 + -8x + -1y = 10 + -18 + -2y -8x + -1y = 10 + -18 + -2y Combine like terms: 10 + -18 = -8 -8x + -1y = -8 + -2y Add 'y' to each side of the equation. -8x + -1y + y = -8 + -2y + y Combine like terms: -1y + y = 0 -8x + 0 = -8 + -2y + y -8x = -8 + -2y + y Combine like terms: -2y + y = -1y -8x = -8 + -1y Divide each side by '-8'. x = 1 + 0.125y Simplifying x = 1 + 0.125y
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