Basic Math Examples

$| \frac{y - 3}{1} | + 2 = 6$

Step 1

Move all terms not containing $| \frac{y - 3}{1} |$ to the right side of the equation.

Tap for more steps...

Step 1.1

Subtract $2$ from both sides of the equation.

$| \frac{y - 3}{1} | = 6 - 2$

Step 1.2

Subtract $2$ from $6$ .

$| \frac{y - 3}{1} | = 4$

Step 2

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$\frac{y - 3}{1} = \pm 4$

Step 3

The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

Step 3.1

First, use the positive value of the $\pm$ to find the first solution.

$\frac{y - 3}{1} = 4$

Step 3.2

Divide $y - 3$ by $1$ .

$y - 3 = 4$

Step 3.3

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

Tap for more steps...

Step 3.3.1

Add $3$ to both sides of the equation.

$y = 4 + 3$

Step 3.3.2

Add $4$ and $3$ .

$y = 7$

Step 3.4

Next, use the negative value of the $\pm$ to find the second solution.

$\frac{y - 3}{1} = - 4$

Step 3.5

Divide $y - 3$ by $1$ .

$y - 3 = - 4$

Step 3.6

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

Tap for more steps...

Step 3.6.1

Add $3$ to both sides of the equation.

$y = - 4 + 3$

Step 3.6.2

Add $- 4$ and $3$ .

$y = - 1$

Step 3.7

The complete solution is the result of both the positive and negative portions of the solution.

$y = 7, - 1$