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Simplifying 0.06(y + 20) + 0.08(y + -10) = 4.60 Reorder the terms: 0.06(20 + y) + 0.08(y + -10) = 4.60 (20 * 0.06 + y * 0.06) + 0.08(y + -10) = 4.60 (1.2 + 0.06y) + 0.08(y + -10) = 4.60 Reorder the terms: 1.2 + 0.06y + 0.08(-10 + y) = 4.60 1.2 + 0.06y + (-10 * 0.08 + y * 0.08) = 4.60 1.2 + 0.06y + (-0.8 + 0.08y) = 4.60 Reorder the terms: 1.2 + -0.8 + 0.06y + 0.08y = 4.60 Combine like terms: 1.2 + -0.8 = 0.4 0.4 + 0.06y + 0.08y = 4.60 Combine like terms: 0.06y + 0.08y = 0.14y 0.4 + 0.14y = 4.60 Solving 0.4 + 0.14y = 4.60 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.14y = 4.60 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.14y = 4.60 + -0.4 0.14y = 4.60 + -0.4 Combine like terms: 4.60 + -0.4 = 4.2 0.14y = 4.2 Divide each side by '0.14'. y = 30 Simplifying y = 30
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