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Simplifying 3(2y + 3) + 3(5y + -2) = 84 Reorder the terms: 3(3 + 2y) + 3(5y + -2) = 84 (3 * 3 + 2y * 3) + 3(5y + -2) = 84 (9 + 6y) + 3(5y + -2) = 84 Reorder the terms: 9 + 6y + 3(-2 + 5y) = 84 9 + 6y + (-2 * 3 + 5y * 3) = 84 9 + 6y + (-6 + 15y) = 84 Reorder the terms: 9 + -6 + 6y + 15y = 84 Combine like terms: 9 + -6 = 3 3 + 6y + 15y = 84 Combine like terms: 6y + 15y = 21y 3 + 21y = 84 Solving 3 + 21y = 84 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 21y = 84 + -3 Combine like terms: 3 + -3 = 0 0 + 21y = 84 + -3 21y = 84 + -3 Combine like terms: 84 + -3 = 81 21y = 81 Divide each side by '21'. y = 3.857142857 Simplifying y = 3.857142857
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