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Simplifying -0.08y + 0.08(100 + -1y) = 0.34y -0.08y + (100 * 0.08 + -1y * 0.08) = 0.34y -0.08y + (8 + -0.08y) = 0.34y Reorder the terms: 8 + -0.08y + -0.08y = 0.34y Combine like terms: -0.08y + -0.08y = -0.16y 8 + -0.16y = 0.34y Solving 8 + -0.16y = 0.34y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.34y' to each side of the equation. 8 + -0.16y + -0.34y = 0.34y + -0.34y Combine like terms: -0.16y + -0.34y = -0.5y 8 + -0.5y = 0.34y + -0.34y Combine like terms: 0.34y + -0.34y = 0.00 8 + -0.5y = 0.00 Add '-8' to each side of the equation. 8 + -8 + -0.5y = 0.00 + -8 Combine like terms: 8 + -8 = 0 0 + -0.5y = 0.00 + -8 -0.5y = 0.00 + -8 Combine like terms: 0.00 + -8 = -8 -0.5y = -8 Divide each side by '-0.5'. y = 16 Simplifying y = 16
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