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Simplifying 11(3 + -6y) + 6(10y + 1) = 9 (3 * 11 + -6y * 11) + 6(10y + 1) = 9 (33 + -66y) + 6(10y + 1) = 9 Reorder the terms: 33 + -66y + 6(1 + 10y) = 9 33 + -66y + (1 * 6 + 10y * 6) = 9 33 + -66y + (6 + 60y) = 9 Reorder the terms: 33 + 6 + -66y + 60y = 9 Combine like terms: 33 + 6 = 39 39 + -66y + 60y = 9 Combine like terms: -66y + 60y = -6y 39 + -6y = 9 Solving 39 + -6y = 9 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -6y = 9 + -39 Combine like terms: 39 + -39 = 0 0 + -6y = 9 + -39 -6y = 9 + -39 Combine like terms: 9 + -39 = -30 -6y = -30 Divide each side by '-6'. y = 5 Simplifying y = 5
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