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Simplifying y + 4(8y + 6) = 24(y + 1) + 7y Reorder the terms: y + 4(6 + 8y) = 24(y + 1) + 7y y + (6 * 4 + 8y * 4) = 24(y + 1) + 7y y + (24 + 32y) = 24(y + 1) + 7y Reorder the terms: 24 + y + 32y = 24(y + 1) + 7y Combine like terms: y + 32y = 33y 24 + 33y = 24(y + 1) + 7y Reorder the terms: 24 + 33y = 24(1 + y) + 7y 24 + 33y = (1 * 24 + y * 24) + 7y 24 + 33y = (24 + 24y) + 7y Combine like terms: 24y + 7y = 31y 24 + 33y = 24 + 31y Add '-24' to each side of the equation. 24 + -24 + 33y = 24 + -24 + 31y Combine like terms: 24 + -24 = 0 0 + 33y = 24 + -24 + 31y 33y = 24 + -24 + 31y Combine like terms: 24 + -24 = 0 33y = 0 + 31y 33y = 31y Solving 33y = 31y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-31y' to each side of the equation. 33y + -31y = 31y + -31y Combine like terms: 33y + -31y = 2y 2y = 31y + -31y Combine like terms: 31y + -31y = 0 2y = 0 Divide each side by '2'. y = 0 Simplifying y = 0
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