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Simplifying 3(2y + 9) = 4y + -71 Reorder the terms: 3(9 + 2y) = 4y + -71 (9 * 3 + 2y * 3) = 4y + -71 (27 + 6y) = 4y + -71 Reorder the terms: 27 + 6y = -71 + 4y Solving 27 + 6y = -71 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 27 + 6y + -4y = -71 + 4y + -4y Combine like terms: 6y + -4y = 2y 27 + 2y = -71 + 4y + -4y Combine like terms: 4y + -4y = 0 27 + 2y = -71 + 0 27 + 2y = -71 Add '-27' to each side of the equation. 27 + -27 + 2y = -71 + -27 Combine like terms: 27 + -27 = 0 0 + 2y = -71 + -27 2y = -71 + -27 Combine like terms: -71 + -27 = -98 2y = -98 Divide each side by '2'. y = -49 Simplifying y = -49
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