Basic Math Examples

$0.5 w - 0.3 y = - 0.18$

Step 1

Add $0.3 y$ to both sides of the equation.

$0.5 w = - 0.18 + 0.3 y$

Step 2

Divide each term in $0.5 w = - 0.18 + 0.3 y$ by $0.5$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $0.5 w = - 0.18 + 0.3 y$ by $0.5$ .

$\frac{0.5 w}{0.5} = \frac{- 0.18}{0.5} + \frac{0.3 y}{0.5}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $0.5$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{0.5 w}{0.5} = \frac{- 0.18}{0.5} + \frac{0.3 y}{0.5}$

Step 2.2.1.2

Divide $w$ by $1$ .

$w = \frac{- 0.18}{0.5} + \frac{0.3 y}{0.5}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Simplify each term.

Tap for more steps...

Step 2.3.1.1

Divide $- 0.18$ by $0.5$ .

$w = - 0.36 + \frac{0.3 y}{0.5}$

Step 2.3.1.2

Factor $0.3$ out of $0.3 y$ .

$w = - 0.36 + \frac{0.3 (y)}{0.5}$

Step 2.3.1.3

Factor $0.5$ out of $0.5$ .

$w = - 0.36 + \frac{0.3 (y)}{0.5 (1)}$

Step 2.3.1.4

Separate fractions.

$w = - 0.36 + \frac{0.3}{0.5} \cdot \frac{y}{1}$

Step 2.3.1.5

Divide $0.3$ by $0.5$ .

$w = - 0.36 + 0.6 \frac{y}{1}$

Step 2.3.1.6

Divide $y$ by $1$ .

$w = - 0.36 + 0.6 y$