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Simplifying 0.2y + 0.14(500 + -1y) = 0.13y 0.2y + (500 * 0.14 + -1y * 0.14) = 0.13y 0.2y + (70 + -0.14y) = 0.13y Reorder the terms: 70 + 0.2y + -0.14y = 0.13y Combine like terms: 0.2y + -0.14y = 0.06y 70 + 0.06y = 0.13y Solving 70 + 0.06y = 0.13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.13y' to each side of the equation. 70 + 0.06y + -0.13y = 0.13y + -0.13y Combine like terms: 0.06y + -0.13y = -0.07y 70 + -0.07y = 0.13y + -0.13y Combine like terms: 0.13y + -0.13y = 0.00 70 + -0.07y = 0.00 Add '-70' to each side of the equation. 70 + -70 + -0.07y = 0.00 + -70 Combine like terms: 70 + -70 = 0 0 + -0.07y = 0.00 + -70 -0.07y = 0.00 + -70 Combine like terms: 0.00 + -70 = -70 -0.07y = -70 Divide each side by '-0.07'. y = 1000 Simplifying y = 1000
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