Pre-Algebra Examples

$y - (5) = \frac{1}{6} \cdot (x - (- 6))$

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Multiply both sides by $6$ .

$6 (y - (5)) = 6 (\frac{1}{6} \cdot (x - (- 6)))$

Step 3

Simplify the left side.

Tap for more steps...

Step 3.1

Simplify $6 (y - (5))$ .

Tap for more steps...

Step 3.1.1

Multiply $- 1$ by $5$ .

$6 (y - 5) = 6 (\frac{1}{6} \cdot (x - (- 6)))$

Step 3.1.2

Apply the distributive property.

$6 y + 6 \cdot - 5 = 6 (\frac{1}{6} \cdot (x - (- 6)))$

Step 3.1.3

Multiply $6$ by $- 5$ .

$6 y - 30 = 6 (\frac{1}{6} \cdot (x - (- 6)))$

Step 4

Simplify the right side.

Tap for more steps...

Step 4.1

Simplify $6 (\frac{1}{6} \cdot (x - (- 6)))$ .

Tap for more steps...

Step 4.1.1

Multiply $- 1$ by $- 6$ .

$6 y - 30 = 6 (\frac{1}{6} \cdot (x + 6))$

Step 4.1.2

Apply the distributive property.

$6 y - 30 = 6 (\frac{1}{6} x + \frac{1}{6} \cdot 6)$

Step 4.1.3

Combine $\frac{1}{6}$ and $x$ .

$6 y - 30 = 6 (\frac{x}{6} + \frac{1}{6} \cdot 6)$

Step 4.1.4

Cancel the common factor of $6$ .

Tap for more steps...

Step 4.1.4.1

Cancel the common factor.

$6 y - 30 = 6 (\frac{x}{6} + \frac{1}{6} \cdot 6)$

Step 4.1.4.2

Rewrite the expression.

$6 y - 30 = 6 (\frac{x}{6} + 1)$

Step 4.1.5

Apply the distributive property.

$6 y - 30 = 6 \frac{x}{6} + 6 \cdot 1$

Step 4.1.6

Cancel the common factor of $6$ .

Tap for more steps...

Step 4.1.6.1

Cancel the common factor.

$6 y - 30 = 6 \frac{x}{6} + 6 \cdot 1$

Step 4.1.6.2

Rewrite the expression.

$6 y - 30 = x + 6 \cdot 1$

Step 4.1.7

Multiply $6$ by $1$ .

$6 y - 30 = x + 6$

Step 5

Rewrite the equation.

$x + 6 = 6 y - 30$

Step 6

Move all terms containing variables to the left side of the equation.

Tap for more steps...

Step 6.1

Subtract $6 y$ from both sides of the equation.

$x + 6 - 6 y = - 30$

Step 6.2

Move $6$ .

$x - 6 y + 6 = - 30$

Step 7

Move all terms not containing a variable to the right side of the equation.

Tap for more steps...

Step 7.1

Subtract $6$ from both sides of the equation.

$x - 6 y = - 30 - 6$

Step 7.2

Subtract $6$ from $- 30$ .

$x - 6 y = - 36$

Step 8