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Simplifying 6(y + 3) = 4(y + 9) Reorder the terms: 6(3 + y) = 4(y + 9) (3 * 6 + y * 6) = 4(y + 9) (18 + 6y) = 4(y + 9) Reorder the terms: 18 + 6y = 4(9 + y) 18 + 6y = (9 * 4 + y * 4) 18 + 6y = (36 + 4y) Solving 18 + 6y = 36 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 18 + 6y + -4y = 36 + 4y + -4y Combine like terms: 6y + -4y = 2y 18 + 2y = 36 + 4y + -4y Combine like terms: 4y + -4y = 0 18 + 2y = 36 + 0 18 + 2y = 36 Add '-18' to each side of the equation. 18 + -18 + 2y = 36 + -18 Combine like terms: 18 + -18 = 0 0 + 2y = 36 + -18 2y = 36 + -18 Combine like terms: 36 + -18 = 18 2y = 18 Divide each side by '2'. y = 9 Simplifying y = 9
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