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Simplifying 0.66(12 + y) = 6 + -0.25(9 + -1y) (12 * 0.66 + y * 0.66) = 6 + -0.25(9 + -1y) (7.92 + 0.66y) = 6 + -0.25(9 + -1y) 7.92 + 0.66y = 6 + (9 * -0.25 + -1y * -0.25) 7.92 + 0.66y = 6 + (-2.25 + 0.25y) Combine like terms: 6 + -2.25 = 3.75 7.92 + 0.66y = 3.75 + 0.25y Solving 7.92 + 0.66y = 3.75 + 0.25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.25y' to each side of the equation. 7.92 + 0.66y + -0.25y = 3.75 + 0.25y + -0.25y Combine like terms: 0.66y + -0.25y = 0.41y 7.92 + 0.41y = 3.75 + 0.25y + -0.25y Combine like terms: 0.25y + -0.25y = 0.00 7.92 + 0.41y = 3.75 + 0.00 7.92 + 0.41y = 3.75 Add '-7.92' to each side of the equation. 7.92 + -7.92 + 0.41y = 3.75 + -7.92 Combine like terms: 7.92 + -7.92 = 0.00 0.00 + 0.41y = 3.75 + -7.92 0.41y = 3.75 + -7.92 Combine like terms: 3.75 + -7.92 = -4.17 0.41y = -4.17 Divide each side by '0.41'. y = -10.17073171 Simplifying y = -10.17073171
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