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