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Simplifying 4(5x + -1y) = 8x + -1y (5x * 4 + -1y * 4) = 8x + -1y (20x + -4y) = 8x + -1y Solving 20x + -4y = 8x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 20x + -8x + -4y = 8x + -8x + -1y Combine like terms: 20x + -8x = 12x 12x + -4y = 8x + -8x + -1y Combine like terms: 8x + -8x = 0 12x + -4y = 0 + -1y 12x + -4y = -1y Add '4y' to each side of the equation. 12x + -4y + 4y = -1y + 4y Combine like terms: -4y + 4y = 0 12x + 0 = -1y + 4y 12x = -1y + 4y Combine like terms: -1y + 4y = 3y 12x = 3y Divide each side by '12'. x = 0.25y Simplifying x = 0.25y
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