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Simplifying x + y = 0.5(100y + y + -0.2) Reorder the terms: x + y = 0.5(-0.2 + 100y + y) Combine like terms: 100y + y = 101y x + y = 0.5(-0.2 + 101y) x + y = (-0.2 * 0.5 + 101y * 0.5) x + y = (-0.1 + 50.5y) Solving x + y = -0.1 + 50.5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + y + -1y = -0.1 + 50.5y + -1y Combine like terms: y + -1y = 0 x + 0 = -0.1 + 50.5y + -1y x = -0.1 + 50.5y + -1y Combine like terms: 50.5y + -1y = 49.5y x = -0.1 + 49.5y Simplifying x = -0.1 + 49.5y
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