Simplify (3y)/5-2y

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

Step 1

To write $- 2 y$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

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

Step 2

Simplify terms.

Combine $- 2 y$ and $\frac{5}{5}$ .

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

Combine the numerators over the common denominator.

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

Step 3

Simplify the numerator.

Factor $y$ out of $3 y - 2 y \cdot 5$ .

Factor $y$ out of $3 y$ .

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

Factor $y$ out of $- 2 y \cdot 5$ .

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

Factor $y$ out of $y \cdot 3 + y (- 2 \cdot 5)$ .

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

Multiply $- 2$ by $5$ .

$\frac{y (3 - 10)}{5}$

Subtract $10$ from $3$ .

$\frac{y \cdot - 7}{5}$

Step 4

Simplify the expression.

Move $- 7$ to the left of $y$ .

$\frac{- 7 \cdot y}{5}$

Move the negative in front of the fraction.

$- \frac{7 y}{5}$