Find Where Undefined/Discontinuous 7/(12-4y)

$\frac{7}{12 - 4 y}$

Step 1

Set the denominator in $\frac{7}{12 - 4 y}$ equal to $0$ to find where the expression is undefined.

$12 - 4 y = 0$

Step 2

Solve for $y$ .

Subtract $12$ from both sides of the equation.

$- 4 y = - 12$

Divide each term in $- 4 y = - 12$ by $- 4$ and simplify.

Divide each term in $- 4 y = - 12$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 12}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 12}{- 4}$

Divide $y$ by $1$ .

$y = \frac{- 12}{- 4}$

Simplify the right side.

Divide $- 12$ by $- 4$ .

$y = 3$

Step 3