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Simplifying 3(4 + y) = 2(9 + y) (4 * 3 + y * 3) = 2(9 + y) (12 + 3y) = 2(9 + y) 12 + 3y = (9 * 2 + y * 2) 12 + 3y = (18 + 2y) Solving 12 + 3y = 18 + 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. 12 + 3y + -2y = 18 + 2y + -2y Combine like terms: 3y + -2y = 1y 12 + 1y = 18 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + 1y = 18 + 0 12 + 1y = 18 Add '-12' to each side of the equation. 12 + -12 + 1y = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 1y = 18 + -12 1y = 18 + -12 Combine like terms: 18 + -12 = 6 1y = 6 Divide each side by '1'. y = 6 Simplifying y = 6
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