Finite Math Examples

$\frac{x}{6} - \frac{y}{6} = 3$

Step 1

Subtract $\frac{x}{6}$ from both sides of the equation.

$- \frac{y}{6} = 3 - \frac{x}{6}$

Step 2

Multiply both sides of the equation by $- 6$ .

$- 6 (- \frac{y}{6}) = - 6 (3 - \frac{x}{6})$

Step 3

Simplify both sides of the equation.

Tap for more steps...

Step 3.1

Simplify the left side.

Tap for more steps...

Step 3.1.1

Simplify $- 6 (- \frac{y}{6})$ .

Tap for more steps...

Step 3.1.1.1

Cancel the common factor of $6$ .

Tap for more steps...

Step 3.1.1.1.1

Move the leading negative in $- \frac{y}{6}$ into the numerator.

$- 6 \frac{- y}{6} = - 6 (3 - \frac{x}{6})$

Step 3.1.1.1.2

Factor $6$ out of $- 6$ .

$6 (- 1) \frac{- y}{6} = - 6 (3 - \frac{x}{6})$

Step 3.1.1.1.3

Cancel the common factor.

$6 \cdot - 1 \frac{- y}{6} = - 6 (3 - \frac{x}{6})$

Step 3.1.1.1.4

Rewrite the expression.

$- - y = - 6 (3 - \frac{x}{6})$

Step 3.1.1.2

Multiply.

Tap for more steps...

Step 3.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 y = - 6 (3 - \frac{x}{6})$

Step 3.1.1.2.2

Multiply $y$ by $1$ .

$y = - 6 (3 - \frac{x}{6})$

Step 3.2

Simplify the right side.

Tap for more steps...

Step 3.2.1

Simplify $- 6 (3 - \frac{x}{6})$ .

Tap for more steps...

Step 3.2.1.1

Apply the distributive property.

$y = - 6 \cdot 3 - 6 (- \frac{x}{6})$

Step 3.2.1.2

Multiply $- 6$ by $3$ .

$y = - 18 - 6 (- \frac{x}{6})$

Step 3.2.1.3

Cancel the common factor of $6$ .

Tap for more steps...

Step 3.2.1.3.1

Move the leading negative in $- \frac{x}{6}$ into the numerator.

$y = - 18 - 6 \frac{- x}{6}$

Step 3.2.1.3.2

Factor $6$ out of $- 6$ .

$y = - 18 + 6 (- 1) \frac{- x}{6}$

Step 3.2.1.3.3

Cancel the common factor.

$y = - 18 + 6 \cdot - 1 \frac{- x}{6}$

Step 3.2.1.3.4

Rewrite the expression.

$y = - 18 - - x$

Step 3.2.1.4

Multiply.

Tap for more steps...

Step 3.2.1.4.1

Multiply $- 1$ by $- 1$ .

$y = - 18 + 1 x$

Step 3.2.1.4.2

Multiply $x$ by $1$ .

$y = - 18 + x$

Step 4

Reorder $- 18$ and $x$ .

$y = x - 18$