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Simplifying 3(y + 9) + y = 2(y + 2) + 4 Reorder the terms: 3(9 + y) + y = 2(y + 2) + 4 (9 * 3 + y * 3) + y = 2(y + 2) + 4 (27 + 3y) + y = 2(y + 2) + 4 Combine like terms: 3y + y = 4y 27 + 4y = 2(y + 2) + 4 Reorder the terms: 27 + 4y = 2(2 + y) + 4 27 + 4y = (2 * 2 + y * 2) + 4 27 + 4y = (4 + 2y) + 4 Reorder the terms: 27 + 4y = 4 + 4 + 2y Combine like terms: 4 + 4 = 8 27 + 4y = 8 + 2y Solving 27 + 4y = 8 + 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. 27 + 4y + -2y = 8 + 2y + -2y Combine like terms: 4y + -2y = 2y 27 + 2y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 27 + 2y = 8 + 0 27 + 2y = 8 Add '-27' to each side of the equation. 27 + -27 + 2y = 8 + -27 Combine like terms: 27 + -27 = 0 0 + 2y = 8 + -27 2y = 8 + -27 Combine like terms: 8 + -27 = -19 2y = -19 Divide each side by '2'. y = -9.5 Simplifying y = -9.5
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