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Simplifying 9(y + 2) = 3(2y + 13) Reorder the terms: 9(2 + y) = 3(2y + 13) (2 * 9 + y * 9) = 3(2y + 13) (18 + 9y) = 3(2y + 13) Reorder the terms: 18 + 9y = 3(13 + 2y) 18 + 9y = (13 * 3 + 2y * 3) 18 + 9y = (39 + 6y) Solving 18 + 9y = 39 + 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. 18 + 9y + -6y = 39 + 6y + -6y Combine like terms: 9y + -6y = 3y 18 + 3y = 39 + 6y + -6y Combine like terms: 6y + -6y = 0 18 + 3y = 39 + 0 18 + 3y = 39 Add '-18' to each side of the equation. 18 + -18 + 3y = 39 + -18 Combine like terms: 18 + -18 = 0 0 + 3y = 39 + -18 3y = 39 + -18 Combine like terms: 39 + -18 = 21 3y = 21 Divide each side by '3'. y = 7 Simplifying y = 7
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