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Simplifying 3(y + 3) + y = 2(y + 4) + 7 Reorder the terms: 3(3 + y) + y = 2(y + 4) + 7 (3 * 3 + y * 3) + y = 2(y + 4) + 7 (9 + 3y) + y = 2(y + 4) + 7 Combine like terms: 3y + y = 4y 9 + 4y = 2(y + 4) + 7 Reorder the terms: 9 + 4y = 2(4 + y) + 7 9 + 4y = (4 * 2 + y * 2) + 7 9 + 4y = (8 + 2y) + 7 Reorder the terms: 9 + 4y = 8 + 7 + 2y Combine like terms: 8 + 7 = 15 9 + 4y = 15 + 2y Solving 9 + 4y = 15 + 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. 9 + 4y + -2y = 15 + 2y + -2y Combine like terms: 4y + -2y = 2y 9 + 2y = 15 + 2y + -2y Combine like terms: 2y + -2y = 0 9 + 2y = 15 + 0 9 + 2y = 15 Add '-9' to each side of the equation. 9 + -9 + 2y = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 2y = 15 + -9 2y = 15 + -9 Combine like terms: 15 + -9 = 6 2y = 6 Divide each side by '2'. y = 3 Simplifying y = 3
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