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Simplifying 6(4y + 5) + 24 = 3(6y + 4) + 16 Reorder the terms: 6(5 + 4y) + 24 = 3(6y + 4) + 16 (5 * 6 + 4y * 6) + 24 = 3(6y + 4) + 16 (30 + 24y) + 24 = 3(6y + 4) + 16 Reorder the terms: 30 + 24 + 24y = 3(6y + 4) + 16 Combine like terms: 30 + 24 = 54 54 + 24y = 3(6y + 4) + 16 Reorder the terms: 54 + 24y = 3(4 + 6y) + 16 54 + 24y = (4 * 3 + 6y * 3) + 16 54 + 24y = (12 + 18y) + 16 Reorder the terms: 54 + 24y = 12 + 16 + 18y Combine like terms: 12 + 16 = 28 54 + 24y = 28 + 18y Solving 54 + 24y = 28 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 54 + 24y + -18y = 28 + 18y + -18y Combine like terms: 24y + -18y = 6y 54 + 6y = 28 + 18y + -18y Combine like terms: 18y + -18y = 0 54 + 6y = 28 + 0 54 + 6y = 28 Add '-54' to each side of the equation. 54 + -54 + 6y = 28 + -54 Combine like terms: 54 + -54 = 0 0 + 6y = 28 + -54 6y = 28 + -54 Combine like terms: 28 + -54 = -26 6y = -26 Divide each side by '6'. y = -4.333333333 Simplifying y = -4.333333333
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