Simplify (6y-18)/(2y-6)

$\frac{6 y - 18}{2 y - 6}$

Step 1

Cancel the common factor of $6 y - 18$ and $2 y - 6$ .

Factor $2$ out of $6 y$ .

$\frac{2 (3 y) - 18}{2 y - 6}$

Factor $2$ out of $- 18$ .

$\frac{2 (3 y) + 2 \cdot - 9}{2 y - 6}$

Factor $2$ out of $2 (3 y) + 2 (- 9)$ .

$\frac{2 (3 y - 9)}{2 y - 6}$

Cancel the common factors.

Factor $2$ out of $2 y$ .

$\frac{2 (3 y - 9)}{2 (y) - 6}$

Factor $2$ out of $- 6$ .

$\frac{2 (3 y - 9)}{2 y + 2 \cdot - 3}$

Factor $2$ out of $2 y + 2 \cdot - 3$ .

$\frac{2 (3 y - 9)}{2 (y - 3)}$

Cancel the common factor.

$\frac{2 (3 y - 9)}{2 (y - 3)}$

Rewrite the expression.

$\frac{3 y - 9}{y - 3}$

$\frac{3 y - 9}{y - 3}$

$\frac{3 y - 9}{y - 3}$

Step 2

Factor $3$ out of $3 y - 9$ .

Factor $3$ out of $3 y$ .

$\frac{3 (y) - 9}{y - 3}$

Factor $3$ out of $- 9$ .

$\frac{3 y + 3 \cdot - 3}{y - 3}$

Factor $3$ out of $3 y + 3 \cdot - 3$ .

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

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

Step 3

Cancel the common factor of $y - 3$ .

Cancel the common factor.

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

Divide $3$ by $1$ .

$3$

$3$

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