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Simplifying 2y + -3 + 3(3y + 4) = -3(y + 1) Reorder the terms: 2y + -3 + 3(4 + 3y) = -3(y + 1) 2y + -3 + (4 * 3 + 3y * 3) = -3(y + 1) 2y + -3 + (12 + 9y) = -3(y + 1) Reorder the terms: -3 + 12 + 2y + 9y = -3(y + 1) Combine like terms: -3 + 12 = 9 9 + 2y + 9y = -3(y + 1) Combine like terms: 2y + 9y = 11y 9 + 11y = -3(y + 1) Reorder the terms: 9 + 11y = -3(1 + y) 9 + 11y = (1 * -3 + y * -3) 9 + 11y = (-3 + -3y) Solving 9 + 11y = -3 + -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. 9 + 11y + 3y = -3 + -3y + 3y Combine like terms: 11y + 3y = 14y 9 + 14y = -3 + -3y + 3y Combine like terms: -3y + 3y = 0 9 + 14y = -3 + 0 9 + 14y = -3 Add '-9' to each side of the equation. 9 + -9 + 14y = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 14y = -3 + -9 14y = -3 + -9 Combine like terms: -3 + -9 = -12 14y = -12 Divide each side by '14'. y = -0.8571428571 Simplifying y = -0.8571428571
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