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Simplifying y + -2 + 3(2y + 1) = -2(y + 1) Reorder the terms: y + -2 + 3(1 + 2y) = -2(y + 1) y + -2 + (1 * 3 + 2y * 3) = -2(y + 1) y + -2 + (3 + 6y) = -2(y + 1) Reorder the terms: -2 + 3 + y + 6y = -2(y + 1) Combine like terms: -2 + 3 = 1 1 + y + 6y = -2(y + 1) Combine like terms: y + 6y = 7y 1 + 7y = -2(y + 1) Reorder the terms: 1 + 7y = -2(1 + y) 1 + 7y = (1 * -2 + y * -2) 1 + 7y = (-2 + -2y) Solving 1 + 7y = -2 + -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. 1 + 7y + 2y = -2 + -2y + 2y Combine like terms: 7y + 2y = 9y 1 + 9y = -2 + -2y + 2y Combine like terms: -2y + 2y = 0 1 + 9y = -2 + 0 1 + 9y = -2 Add '-1' to each side of the equation. 1 + -1 + 9y = -2 + -1 Combine like terms: 1 + -1 = 0 0 + 9y = -2 + -1 9y = -2 + -1 Combine like terms: -2 + -1 = -3 9y = -3 Divide each side by '9'. y = -0.3333333333 Simplifying y = -0.3333333333
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