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Simplifying y + 3(8y + 6) = 18(y + 1) + 5y Reorder the terms: y + 3(6 + 8y) = 18(y + 1) + 5y y + (6 * 3 + 8y * 3) = 18(y + 1) + 5y y + (18 + 24y) = 18(y + 1) + 5y Reorder the terms: 18 + y + 24y = 18(y + 1) + 5y Combine like terms: y + 24y = 25y 18 + 25y = 18(y + 1) + 5y Reorder the terms: 18 + 25y = 18(1 + y) + 5y 18 + 25y = (1 * 18 + y * 18) + 5y 18 + 25y = (18 + 18y) + 5y Combine like terms: 18y + 5y = 23y 18 + 25y = 18 + 23y Add '-18' to each side of the equation. 18 + -18 + 25y = 18 + -18 + 23y Combine like terms: 18 + -18 = 0 0 + 25y = 18 + -18 + 23y 25y = 18 + -18 + 23y Combine like terms: 18 + -18 = 0 25y = 0 + 23y 25y = 23y Solving 25y = 23y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23y' to each side of the equation. 25y + -23y = 23y + -23y Combine like terms: 25y + -23y = 2y 2y = 23y + -23y Combine like terms: 23y + -23y = 0 2y = 0 Divide each side by '2'. y = 0 Simplifying y = 0
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