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Simplifying y + x = 9(y + -1x) Reorder the terms: x + y = 9(y + -1x) Reorder the terms: x + y = 9(-1x + y) x + y = (-1x * 9 + y * 9) x + y = (-9x + 9y) Solving x + y = -9x + 9y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. x + 9x + y = -9x + 9x + 9y Combine like terms: x + 9x = 10x 10x + y = -9x + 9x + 9y Combine like terms: -9x + 9x = 0 10x + y = 0 + 9y 10x + y = 9y Add '-1y' to each side of the equation. 10x + y + -1y = 9y + -1y Combine like terms: y + -1y = 0 10x + 0 = 9y + -1y 10x = 9y + -1y Combine like terms: 9y + -1y = 8y 10x = 8y Divide each side by '10'. x = 0.8y Simplifying x = 0.8y
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