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Simplifying 0.07y + 0.09(100 + -1y) = 7.6 0.07y + (100 * 0.09 + -1y * 0.09) = 7.6 0.07y + (9 + -0.09y) = 7.6 Reorder the terms: 9 + 0.07y + -0.09y = 7.6 Combine like terms: 0.07y + -0.09y = -0.02y 9 + -0.02y = 7.6 Solving 9 + -0.02y = 7.6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -0.02y = 7.6 + -9 Combine like terms: 9 + -9 = 0 0 + -0.02y = 7.6 + -9 -0.02y = 7.6 + -9 Combine like terms: 7.6 + -9 = -1.4 -0.02y = -1.4 Divide each side by '-0.02'. y = 70 Simplifying y = 70
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