Solve for y 4|2y-7|+13=9

$4 | 2 y - 7 | + 13 = 9$

Step 1

Move all terms not containing $| 2 y - 7 |$ to the right side of the equation.

Subtract $13$ from both sides of the equation.

$4 | 2 y - 7 | = 9 - 13$

Subtract $13$ from $9$ .

$4 | 2 y - 7 | = - 4$

Step 2

Divide each term in $4 | 2 y - 7 | = - 4$ by $4$ and simplify.

Divide each term in $4 | 2 y - 7 | = - 4$ by $4$ .

$\frac{4 | 2 y - 7 |}{4} = \frac{- 4}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 | 2 y - 7 |}{4} = \frac{- 4}{4}$

Divide $| 2 y - 7 |$ by $1$ .

$| 2 y - 7 | = \frac{- 4}{4}$

Simplify the right side.

Divide $- 4$ by $4$ .

$| 2 y - 7 | = - 1$

Step 3

There is no value of $y$ that makes the equation be true since an absolute value can never be negative.

No solution