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Simplifying 3(4y + 3) = 2(3 + 5) Reorder the terms: 3(3 + 4y) = 2(3 + 5) (3 * 3 + 4y * 3) = 2(3 + 5) (9 + 12y) = 2(3 + 5) Combine like terms: 3 + 5 = 8 9 + 12y = 2(8) Multiply 2 * 8 9 + 12y = 16 Solving 9 + 12y = 16 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 12y = 16 + -9 Combine like terms: 9 + -9 = 0 0 + 12y = 16 + -9 12y = 16 + -9 Combine like terms: 16 + -9 = 7 12y = 7 Divide each side by '12'. y = 0.5833333333 Simplifying y = 0.5833333333
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