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Simplifying 0.09y + 0.12(100 + -1y) = 9.6 0.09y + (100 * 0.12 + -1y * 0.12) = 9.6 0.09y + (12 + -0.12y) = 9.6 Reorder the terms: 12 + 0.09y + -0.12y = 9.6 Combine like terms: 0.09y + -0.12y = -0.03y 12 + -0.03y = 9.6 Solving 12 + -0.03y = 9.6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -0.03y = 9.6 + -12 Combine like terms: 12 + -12 = 0 0 + -0.03y = 9.6 + -12 -0.03y = 9.6 + -12 Combine like terms: 9.6 + -12 = -2.4 -0.03y = -2.4 Divide each side by '-0.03'. y = 80 Simplifying y = 80
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