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Simplifying 3(y + 9) + 4 = y + 11 Reorder the terms: 3(9 + y) + 4 = y + 11 (9 * 3 + y * 3) + 4 = y + 11 (27 + 3y) + 4 = y + 11 Reorder the terms: 27 + 4 + 3y = y + 11 Combine like terms: 27 + 4 = 31 31 + 3y = y + 11 Reorder the terms: 31 + 3y = 11 + y Solving 31 + 3y = 11 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 31 + 3y + -1y = 11 + y + -1y Combine like terms: 3y + -1y = 2y 31 + 2y = 11 + y + -1y Combine like terms: y + -1y = 0 31 + 2y = 11 + 0 31 + 2y = 11 Add '-31' to each side of the equation. 31 + -31 + 2y = 11 + -31 Combine like terms: 31 + -31 = 0 0 + 2y = 11 + -31 2y = 11 + -31 Combine like terms: 11 + -31 = -20 2y = -20 Divide each side by '2'. y = -10 Simplifying y = -10
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