Simplify 6(1/3x-y)

$6 (\frac{1}{3} x - y)$

Combine $\frac{1}{3}$ and $x$ .

$6 (\frac{x}{3} - y)$

Apply the distributive property.

$6 \frac{x}{3} + 6 (- y)$

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$3 (2) \frac{x}{3} + 6 (- y)$

Cancel the common factor.

$3 \cdot 2 \frac{x}{3} + 6 (- y)$

Rewrite the expression.

$2 x + 6 (- y)$

$2 x + 6 (- y)$

Multiply $- 1$ by $6$ .

$2 x - 6 y$

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