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Simplifying 2(6y + 3) = 18 + -3(16 + -3y) Reorder the terms: 2(3 + 6y) = 18 + -3(16 + -3y) (3 * 2 + 6y * 2) = 18 + -3(16 + -3y) (6 + 12y) = 18 + -3(16 + -3y) 6 + 12y = 18 + (16 * -3 + -3y * -3) 6 + 12y = 18 + (-48 + 9y) Combine like terms: 18 + -48 = -30 6 + 12y = -30 + 9y Solving 6 + 12y = -30 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 6 + 12y + -9y = -30 + 9y + -9y Combine like terms: 12y + -9y = 3y 6 + 3y = -30 + 9y + -9y Combine like terms: 9y + -9y = 0 6 + 3y = -30 + 0 6 + 3y = -30 Add '-6' to each side of the equation. 6 + -6 + 3y = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 3y = -30 + -6 3y = -30 + -6 Combine like terms: -30 + -6 = -36 3y = -36 Divide each side by '3'. y = -12 Simplifying y = -12
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