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