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Simplifying y = 5(x + y) + 3(x + -1y) y = (x * 5 + y * 5) + 3(x + -1y) y = (5x + 5y) + 3(x + -1y) y = 5x + 5y + (x * 3 + -1y * 3) y = 5x + 5y + (3x + -3y) Reorder the terms: y = 5x + 3x + 5y + -3y Combine like terms: 5x + 3x = 8x y = 8x + 5y + -3y Combine like terms: 5y + -3y = 2y y = 8x + 2y Solving y = 8x + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. y + -2y = 8x + 2y + -2y Combine like terms: y + -2y = -1y -1y = 8x + 2y + -2y Combine like terms: 2y + -2y = 0 -1y = 8x + 0 -1y = 8x Divide each side by '-1'. y = -8x Simplifying y = -8x
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