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Simplifying x + y = (100y + 0.01x) Reorder the terms: x + y = (0.01x + 100y) Remove parenthesis around (0.01x + 100y) x + y = 0.01x + 100y Solving x + y = 0.01x + 100y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.01x' to each side of the equation. x + -0.01x + y = 0.01x + -0.01x + 100y Combine like terms: x + -0.01x = 0.99x 0.99x + y = 0.01x + -0.01x + 100y Combine like terms: 0.01x + -0.01x = 0.00 0.99x + y = 0.00 + 100y 0.99x + y = 100y Add '-1y' to each side of the equation. 0.99x + y + -1y = 100y + -1y Combine like terms: y + -1y = 0 0.99x + 0 = 100y + -1y 0.99x = 100y + -1y Combine like terms: 100y + -1y = 99y 0.99x = 99y Divide each side by '0.99'. x = 100y Simplifying x = 100y
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