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Simplifying 3(2y + 3) = 5y + 8 Reorder the terms: 3(3 + 2y) = 5y + 8 (3 * 3 + 2y * 3) = 5y + 8 (9 + 6y) = 5y + 8 Reorder the terms: 9 + 6y = 8 + 5y Solving 9 + 6y = 8 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 9 + 6y + -5y = 8 + 5y + -5y Combine like terms: 6y + -5y = 1y 9 + 1y = 8 + 5y + -5y Combine like terms: 5y + -5y = 0 9 + 1y = 8 + 0 9 + 1y = 8 Add '-9' to each side of the equation. 9 + -9 + 1y = 8 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 8 + -9 1y = 8 + -9 Combine like terms: 8 + -9 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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