Simplify (4y-3)/(y+2)+(5-3y)/(y+2)

$\frac{4 y - 3}{y + 2} + \frac{5 - 3 y}{y + 2}$

Step 1

Combine the numerators over the common denominator.

$\frac{4 y - 3 + 5 - 3 y}{y + 2}$

Step 2

Subtract $3 y$ from $4 y$ .

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

Step 3

Add $- 3$ and $5$ .

$\frac{y + 2}{y + 2}$

Step 4

Cancel the common factor of $y + 2$ .

Cancel the common factor.

$\frac{y + 2}{y + 2}$

Rewrite the expression.

$1$