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Simplifying 3(y + 6) = 2(y + 4) Reorder the terms: 3(6 + y) = 2(y + 4) (6 * 3 + y * 3) = 2(y + 4) (18 + 3y) = 2(y + 4) Reorder the terms: 18 + 3y = 2(4 + y) 18 + 3y = (4 * 2 + y * 2) 18 + 3y = (8 + 2y) Solving 18 + 3y = 8 + 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. 18 + 3y + -2y = 8 + 2y + -2y Combine like terms: 3y + -2y = 1y 18 + 1y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 18 + 1y = 8 + 0 18 + 1y = 8 Add '-18' to each side of the equation. 18 + -18 + 1y = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 1y = 8 + -18 1y = 8 + -18 Combine like terms: 8 + -18 = -10 1y = -10 Divide each side by '1'. y = -10 Simplifying y = -10
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