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Simplifying 3(2y + 6) = 4(9 + 3y) Reorder the terms: 3(6 + 2y) = 4(9 + 3y) (6 * 3 + 2y * 3) = 4(9 + 3y) (18 + 6y) = 4(9 + 3y) 18 + 6y = (9 * 4 + 3y * 4) 18 + 6y = (36 + 12y) Solving 18 + 6y = 36 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 18 + 6y + -12y = 36 + 12y + -12y Combine like terms: 6y + -12y = -6y 18 + -6y = 36 + 12y + -12y Combine like terms: 12y + -12y = 0 18 + -6y = 36 + 0 18 + -6y = 36 Add '-18' to each side of the equation. 18 + -18 + -6y = 36 + -18 Combine like terms: 18 + -18 = 0 0 + -6y = 36 + -18 -6y = 36 + -18 Combine like terms: 36 + -18 = 18 -6y = 18 Divide each side by '-6'. y = -3 Simplifying y = -3
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