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Simplifying 3(6.333333333 + -1.333333333y) + 6y = 33 (6.333333333 * 3 + -1.333333333y * 3) + 6y = 33 (19 + -3.999999999y) + 6y = 33 Combine like terms: -3.999999999y + 6y = 2.000000001y 19 + 2.000000001y = 33 Solving 19 + 2.000000001y = 33 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2.000000001y = 33 + -19 Combine like terms: 19 + -19 = 0 0 + 2.000000001y = 33 + -19 2.000000001y = 33 + -19 Combine like terms: 33 + -19 = 14 2.000000001y = 14 Divide each side by '2.000000001'. y = 6.999999997 Simplifying y = 6.999999997
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