Simplify 4/7*14/(8(y-2))

$\frac{4}{7} \cdot \frac{14}{8 (y - 2)}$

Cancel the common factor of $4$ .

Factor $4$ out of $8 (y - 2)$ .

$\frac{4}{7} \cdot \frac{14}{4 (2 (y - 2))}$

Cancel the common factor.

$\frac{4}{7} \cdot \frac{14}{4 (2 (y - 2))}$

Rewrite the expression.

$\frac{1}{7} \cdot \frac{14}{2 (y - 2)}$

$\frac{1}{7} \cdot \frac{14}{2 (y - 2)}$

Cancel the common factor of $7$ .

Factor $7$ out of $14$ .

$\frac{1}{7} \cdot \frac{7 (2)}{2 (y - 2)}$

Cancel the common factor.

$\frac{1}{7} \cdot \frac{7 \cdot 2}{2 (y - 2)}$

Rewrite the expression.

$\frac{2}{2 (y - 2)}$

$\frac{2}{2 (y - 2)}$

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2}{2 (y - 2)}$

Rewrite the expression.

$\frac{1}{y - 2}$

$\frac{1}{y - 2}$

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