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Simplifying 5 + 3(y + 9) + 2(3y + 7) = 0 Reorder the terms: 5 + 3(9 + y) + 2(3y + 7) = 0 5 + (9 * 3 + y * 3) + 2(3y + 7) = 0 5 + (27 + 3y) + 2(3y + 7) = 0 Reorder the terms: 5 + 27 + 3y + 2(7 + 3y) = 0 5 + 27 + 3y + (7 * 2 + 3y * 2) = 0 5 + 27 + 3y + (14 + 6y) = 0 Reorder the terms: 5 + 27 + 14 + 3y + 6y = 0 Combine like terms: 5 + 27 = 32 32 + 14 + 3y + 6y = 0 Combine like terms: 32 + 14 = 46 46 + 3y + 6y = 0 Combine like terms: 3y + 6y = 9y 46 + 9y = 0 Solving 46 + 9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 9y = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 9y = 0 + -46 9y = 0 + -46 Combine like terms: 0 + -46 = -46 9y = -46 Divide each side by '9'. y = -5.111111111 Simplifying y = -5.111111111
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