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Simplifying 6(2y + 3) + 2(3y + 7) + 9 = 0 Reorder the terms: 6(3 + 2y) + 2(3y + 7) + 9 = 0 (3 * 6 + 2y * 6) + 2(3y + 7) + 9 = 0 (18 + 12y) + 2(3y + 7) + 9 = 0 Reorder the terms: 18 + 12y + 2(7 + 3y) + 9 = 0 18 + 12y + (7 * 2 + 3y * 2) + 9 = 0 18 + 12y + (14 + 6y) + 9 = 0 Reorder the terms: 18 + 14 + 9 + 12y + 6y = 0 Combine like terms: 18 + 14 = 32 32 + 9 + 12y + 6y = 0 Combine like terms: 32 + 9 = 41 41 + 12y + 6y = 0 Combine like terms: 12y + 6y = 18y 41 + 18y = 0 Solving 41 + 18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 18y = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 18y = 0 + -41 18y = 0 + -41 Combine like terms: 0 + -41 = -41 18y = -41 Divide each side by '18'. y = -2.277777778 Simplifying y = -2.277777778
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