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Simplifying 3y + -2 + 3(2y + 1) = -3(y + 3) Reorder the terms: 3y + -2 + 3(1 + 2y) = -3(y + 3) 3y + -2 + (1 * 3 + 2y * 3) = -3(y + 3) 3y + -2 + (3 + 6y) = -3(y + 3) Reorder the terms: -2 + 3 + 3y + 6y = -3(y + 3) Combine like terms: -2 + 3 = 1 1 + 3y + 6y = -3(y + 3) Combine like terms: 3y + 6y = 9y 1 + 9y = -3(y + 3) Reorder the terms: 1 + 9y = -3(3 + y) 1 + 9y = (3 * -3 + y * -3) 1 + 9y = (-9 + -3y) Solving 1 + 9y = -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. 1 + 9y + 3y = -9 + -3y + 3y Combine like terms: 9y + 3y = 12y 1 + 12y = -9 + -3y + 3y Combine like terms: -3y + 3y = 0 1 + 12y = -9 + 0 1 + 12y = -9 Add '-1' to each side of the equation. 1 + -1 + 12y = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 12y = -9 + -1 12y = -9 + -1 Combine like terms: -9 + -1 = -10 12y = -10 Divide each side by '12'. y = -0.8333333333 Simplifying y = -0.8333333333
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