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Simplifying 11(4 + -6y) + 5(13y + 1) = 0 (4 * 11 + -6y * 11) + 5(13y + 1) = 0 (44 + -66y) + 5(13y + 1) = 0 Reorder the terms: 44 + -66y + 5(1 + 13y) = 0 44 + -66y + (1 * 5 + 13y * 5) = 0 44 + -66y + (5 + 65y) = 0 Reorder the terms: 44 + 5 + -66y + 65y = 0 Combine like terms: 44 + 5 = 49 49 + -66y + 65y = 0 Combine like terms: -66y + 65y = -1y 49 + -1y = 0 Solving 49 + -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1y = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1y = 0 + -49 -1y = 0 + -49 Combine like terms: 0 + -49 = -49 -1y = -49 Divide each side by '-1'. y = 49 Simplifying y = 49
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