Pre-Algebra Examples

$8 y + 6 - 2 y = 18$

Step 1

Rewrite in slope-intercept form.

Tap for more steps...

Step 1.1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 1.2

Simplify the left side.

Tap for more steps...

Step 1.2.1

Subtract $2 y$ from $8 y$ .

$6 y + 6 = 18$

Step 1.3

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

Tap for more steps...

Step 1.3.1

Subtract $6$ from both sides of the equation.

$6 y = 18 - 6$

Step 1.3.2

Subtract $6$ from $18$ .

$6 y = 12$

Step 1.4

Divide each term in $6 y = 12$ by $6$ and simplify.

Tap for more steps...

Step 1.4.1

Divide each term in $6 y = 12$ by $6$ .

$\frac{6 y}{6} = \frac{12}{6}$

Step 1.4.2

Simplify the left side.

Tap for more steps...

Step 1.4.2.1

Cancel the common factor of $6$ .

Tap for more steps...

Step 1.4.2.1.1

Cancel the common factor.

$\frac{6 y}{6} = \frac{12}{6}$

Step 1.4.2.1.2

Divide $y$ by $1$ .

$y = \frac{12}{6}$

Step 1.4.3

Simplify the right side.

Tap for more steps...

Step 1.4.3.1

Divide $12$ by $6$ .

$y = 2$

Step 2

Using the slope-intercept form, the slope is $0$ .

$m = 0$

Step 3