Algebra Examples

$5 y - 2 + y - 6 = - 9 y + 10 + 6 y + 13$

Step 1

Simplify $5 y - 2 + y - 6$ .

Tap for more steps...

Step 1.1

Add $5 y$ and $y$ .

$6 y - 2 - 6 = - 9 y + 10 + 6 y + 13$

Step 1.2

Subtract $6$ from $- 2$ .

$6 y - 8 = - 9 y + 10 + 6 y + 13$

Step 2

Simplify $- 9 y + 10 + 6 y + 13$ .

Tap for more steps...

Step 2.1

Add $- 9 y$ and $6 y$ .

$6 y - 8 = - 3 y + 10 + 13$

Step 2.2

Add $10$ and $13$ .

$6 y - 8 = - 3 y + 23$

Step 3

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

Tap for more steps...

Step 3.1

Add $3 y$ to both sides of the equation.

$6 y - 8 + 3 y = 23$

Step 3.2

Add $6 y$ and $3 y$ .

$9 y - 8 = 23$

Step 4

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

Tap for more steps...

Step 4.1

Add $8$ to both sides of the equation.

$9 y = 23 + 8$

Step 4.2

Add $23$ and $8$ .

$9 y = 31$

Step 5

Divide each term in $9 y = 31$ by $9$ and simplify.

Tap for more steps...

Step 5.1

Divide each term in $9 y = 31$ by $9$ .

$\frac{9 y}{9} = \frac{31}{9}$

Step 5.2

Simplify the left side.

Tap for more steps...

Step 5.2.1

Cancel the common factor of $9$ .

Tap for more steps...

Step 5.2.1.1

Cancel the common factor.

$\frac{9 y}{9} = \frac{31}{9}$

Step 5.2.1.2

Divide $y$ by $1$ .

$y = \frac{31}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$y = \frac{31}{9}$

Decimal Form:

$y = 3.\overline{4}$

Mixed Number Form:

$y = 3 \frac{4}{9}$