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Simplifying 11(4 + -6y) + 6(13y + 1) = 9 (4 * 11 + -6y * 11) + 6(13y + 1) = 9 (44 + -66y) + 6(13y + 1) = 9 Reorder the terms: 44 + -66y + 6(1 + 13y) = 9 44 + -66y + (1 * 6 + 13y * 6) = 9 44 + -66y + (6 + 78y) = 9 Reorder the terms: 44 + 6 + -66y + 78y = 9 Combine like terms: 44 + 6 = 50 50 + -66y + 78y = 9 Combine like terms: -66y + 78y = 12y 50 + 12y = 9 Solving 50 + 12y = 9 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 12y = 9 + -50 Combine like terms: 50 + -50 = 0 0 + 12y = 9 + -50 12y = 9 + -50 Combine like terms: 9 + -50 = -41 12y = -41 Divide each side by '12'. y = -3.416666667 Simplifying y = -3.416666667
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