Simplify 2/3x-3y+1/3x+2y

$\frac{2}{3} x - 3 y + \frac{1}{3} x + 2 y$

Step 1

Simplify each term.

Combine $\frac{2}{3}$ and $x$ .

$\frac{2 x}{3} - 3 y + \frac{1}{3} x + 2 y$

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

$\frac{2 x}{3} - 3 y + \frac{x}{3} + 2 y$

Step 2

Simplify terms.

Combine the numerators over the common denominator.

$- 3 y + 2 y + \frac{2 x + x}{3}$

Add $2 x$ and $x$ .

$- 3 y + 2 y + \frac{3 x}{3}$

Cancel the common factor of $3$ .

Cancel the common factor.

$- 3 y + 2 y + \frac{3 x}{3}$

Divide $x$ by $1$ .

$- 3 y + 2 y + x$

Add $- 3 y$ and $2 y$ .

$- y + x$