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Simplifying 8(y + 3) = 3(2y + 12) Reorder the terms: 8(3 + y) = 3(2y + 12) (3 * 8 + y * 8) = 3(2y + 12) (24 + 8y) = 3(2y + 12) Reorder the terms: 24 + 8y = 3(12 + 2y) 24 + 8y = (12 * 3 + 2y * 3) 24 + 8y = (36 + 6y) Solving 24 + 8y = 36 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 24 + 8y + -6y = 36 + 6y + -6y Combine like terms: 8y + -6y = 2y 24 + 2y = 36 + 6y + -6y Combine like terms: 6y + -6y = 0 24 + 2y = 36 + 0 24 + 2y = 36 Add '-24' to each side of the equation. 24 + -24 + 2y = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 2y = 36 + -24 2y = 36 + -24 Combine like terms: 36 + -24 = 12 2y = 12 Divide each side by '2'. y = 6 Simplifying y = 6
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