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Simplifying 3(3y + 1) = 7(11 + -3k) Reorder the terms: 3(1 + 3y) = 7(11 + -3k) (1 * 3 + 3y * 3) = 7(11 + -3k) (3 + 9y) = 7(11 + -3k) 3 + 9y = (11 * 7 + -3k * 7) 3 + 9y = (77 + -21k) Solving 3 + 9y = 77 + -21k Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 9y = 77 + -3 + -21k Combine like terms: 3 + -3 = 0 0 + 9y = 77 + -3 + -21k 9y = 77 + -3 + -21k Combine like terms: 77 + -3 = 74 9y = 74 + -21k Divide each side by '9'. y = 8.222222222 + -2.333333333k Simplifying y = 8.222222222 + -2.333333333k
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