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Simplifying 3(y + 6) + y = 2(y + 9) Reorder the terms: 3(6 + y) + y = 2(y + 9) (6 * 3 + y * 3) + y = 2(y + 9) (18 + 3y) + y = 2(y + 9) Combine like terms: 3y + y = 4y 18 + 4y = 2(y + 9) Reorder the terms: 18 + 4y = 2(9 + y) 18 + 4y = (9 * 2 + y * 2) 18 + 4y = (18 + 2y) Add '-18' to each side of the equation. 18 + -18 + 4y = 18 + -18 + 2y Combine like terms: 18 + -18 = 0 0 + 4y = 18 + -18 + 2y 4y = 18 + -18 + 2y Combine like terms: 18 + -18 = 0 4y = 0 + 2y 4y = 2y Solving 4y = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 4y + -2y = 2y + -2y Combine like terms: 4y + -2y = 2y 2y = 2y + -2y Combine like terms: 2y + -2y = 0 2y = 0 Divide each side by '2'. y = 0 Simplifying y = 0
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