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Simplifying 3(2y + 1) = 24 + -1y Reorder the terms: 3(1 + 2y) = 24 + -1y (1 * 3 + 2y * 3) = 24 + -1y (3 + 6y) = 24 + -1y Solving 3 + 6y = 24 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 3 + 6y + y = 24 + -1y + y Combine like terms: 6y + y = 7y 3 + 7y = 24 + -1y + y Combine like terms: -1y + y = 0 3 + 7y = 24 + 0 3 + 7y = 24 Add '-3' to each side of the equation. 3 + -3 + 7y = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 7y = 24 + -3 7y = 24 + -3 Combine like terms: 24 + -3 = 21 7y = 21 Divide each side by '7'. y = 3 Simplifying y = 3
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