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

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

Step 1

Since $y$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

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

Step 2

Subtract $4 y$ from $9 y$ .

$5 y + 13 = 7 y - 4$

Step 3

Move all terms containing $y$ to the left side of the equation.

Subtract $7 y$ from both sides of the equation.

$5 y + 13 - 7 y = - 4$

Subtract $7 y$ from $5 y$ .

$- 2 y + 13 = - 4$

Step 4

Move all terms not containing $y$ to the right side of the equation.

Subtract $13$ from both sides of the equation.

$- 2 y = - 4 - 13$

Subtract $13$ from $- 4$ .

$- 2 y = - 17$

Step 5

Divide each term in $- 2 y = - 17$ by $- 2$ and simplify.

Divide each term in $- 2 y = - 17$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{- 17}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{- 17}{- 2}$

Divide $y$ by $1$ .

$y = \frac{- 17}{- 2}$

Simplify the right side.

Dividing two negative values results in a positive value.

$y = \frac{17}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$y = \frac{17}{2}$

Decimal Form:

$y = 8.5$

Mixed Number Form:

$y = 8 \frac{1}{2}$