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Simplifying (x + -1y) = 0.5(x + y) Remove parenthesis around (x + -1y) x + -1y = 0.5(x + y) x + -1y = (x * 0.5 + y * 0.5) x + -1y = (0.5x + 0.5y) Solving x + -1y = 0.5x + 0.5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. x + -0.5x + -1y = 0.5x + -0.5x + 0.5y Combine like terms: x + -0.5x = 0.5x 0.5x + -1y = 0.5x + -0.5x + 0.5y Combine like terms: 0.5x + -0.5x = 0.0 0.5x + -1y = 0.0 + 0.5y 0.5x + -1y = 0.5y Add 'y' to each side of the equation. 0.5x + -1y + y = 0.5y + y Combine like terms: -1y + y = 0 0.5x + 0 = 0.5y + y 0.5x = 0.5y + y Combine like terms: 0.5y + y = 1.5y 0.5x = 1.5y Divide each side by '0.5'. x = 3y Simplifying x = 3y
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