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Simplifying 3(4y + 8) = -4(7 + -9y) Reorder the terms: 3(8 + 4y) = -4(7 + -9y) (8 * 3 + 4y * 3) = -4(7 + -9y) (24 + 12y) = -4(7 + -9y) 24 + 12y = (7 * -4 + -9y * -4) 24 + 12y = (-28 + 36y) Solving 24 + 12y = -28 + 36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36y' to each side of the equation. 24 + 12y + -36y = -28 + 36y + -36y Combine like terms: 12y + -36y = -24y 24 + -24y = -28 + 36y + -36y Combine like terms: 36y + -36y = 0 24 + -24y = -28 + 0 24 + -24y = -28 Add '-24' to each side of the equation. 24 + -24 + -24y = -28 + -24 Combine like terms: 24 + -24 = 0 0 + -24y = -28 + -24 -24y = -28 + -24 Combine like terms: -28 + -24 = -52 -24y = -52 Divide each side by '-24'. y = 2.166666667 Simplifying y = 2.166666667
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