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Simplifying 20 + 0.75(12 + -1y) = 1.5y + -10 20 + (12 * 0.75 + -1y * 0.75) = 1.5y + -10 20 + (9 + -0.75y) = 1.5y + -10 Combine like terms: 20 + 9 = 29 29 + -0.75y = 1.5y + -10 Reorder the terms: 29 + -0.75y = -10 + 1.5y Solving 29 + -0.75y = -10 + 1.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.5y' to each side of the equation. 29 + -0.75y + -1.5y = -10 + 1.5y + -1.5y Combine like terms: -0.75y + -1.5y = -2.25y 29 + -2.25y = -10 + 1.5y + -1.5y Combine like terms: 1.5y + -1.5y = 0.0 29 + -2.25y = -10 + 0.0 29 + -2.25y = -10 Add '-29' to each side of the equation. 29 + -29 + -2.25y = -10 + -29 Combine like terms: 29 + -29 = 0 0 + -2.25y = -10 + -29 -2.25y = -10 + -29 Combine like terms: -10 + -29 = -39 -2.25y = -39 Divide each side by '-2.25'. y = 17.33333333 Simplifying y = 17.33333333
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