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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 = 48y 24 + 48y = 28 + -36y + 36y Combine like terms: -36y + 36y = 0 24 + 48y = 28 + 0 24 + 48y = 28 Add '-24' to each side of the equation. 24 + -24 + 48y = 28 + -24 Combine like terms: 24 + -24 = 0 0 + 48y = 28 + -24 48y = 28 + -24 Combine like terms: 28 + -24 = 4 48y = 4 Divide each side by '48'. y = 0.08333333333 Simplifying y = 0.08333333333
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