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Simplifying 25.59 = 0.45y + 0.08(300 + y) 25.59 = 0.45y + (300 * 0.08 + y * 0.08) 25.59 = 0.45y + (24 + 0.08y) Reorder the terms: 25.59 = 24 + 0.45y + 0.08y Combine like terms: 0.45y + 0.08y = 0.53y 25.59 = 24 + 0.53y Solving 25.59 = 24 + 0.53y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.53y' to each side of the equation. 25.59 + -0.53y = 24 + 0.53y + -0.53y Combine like terms: 0.53y + -0.53y = 0.00 25.59 + -0.53y = 24 + 0.00 25.59 + -0.53y = 24 Add '-25.59' to each side of the equation. 25.59 + -25.59 + -0.53y = 24 + -25.59 Combine like terms: 25.59 + -25.59 = 0.00 0.00 + -0.53y = 24 + -25.59 -0.53y = 24 + -25.59 Combine like terms: 24 + -25.59 = -1.59 -0.53y = -1.59 Divide each side by '-0.53'. y = 3 Simplifying y = 3
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