Simplify (6y-3)/(5y)-(y+2)/(5y)

$\frac{6 y - 3}{5 y} - \frac{y + 2}{5 y}$

Combine the numerators over the common denominator.

$\frac{6 y - 3 - (y + 2)}{5 y}$

Simplify each term.

Apply the distributive property.

$\frac{6 y - 3 - y - 1 \cdot 2}{5 y}$

Multiply $- 1$ by $2$ .

$\frac{6 y - 3 - y - 2}{5 y}$

Simplify terms.

Subtract $y$ from $6 y$ .

$\frac{5 y - 3 - 2}{5 y}$

Subtract $2$ from $- 3$ .

$\frac{5 y - 5}{5 y}$

Cancel the common factor of $5 y - 5$ and $5$ .

Factor $5$ out of $5 y$ .

$\frac{5 (y) - 5}{5 y}$

Factor $5$ out of $- 5$ .

$\frac{5 (y) + 5 \cdot - 1}{5 y}$

Factor $5$ out of $5 (y) + 5 (- 1)$ .

$\frac{5 (y - 1)}{5 y}$

Cancel the common factors.

Factor $5$ out of $5 y$ .

$\frac{5 (y - 1)}{5 (y)}$

Cancel the common factor.

$\frac{5 (y - 1)}{5 y}$

Rewrite the expression.

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