Basic Math Examples

$3 x + 0.5 y + 0.25 z = 25$

Step 1

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

Tap for more steps...

Step 1.1

Subtract $3 x$ from both sides of the equation.

$0.5 y + 0.25 z = 25 - 3 x$

Step 1.2

Subtract $0.25 z$ from both sides of the equation.

$0.5 y = 25 - 3 x - 0.25 z$

Step 2

Divide each term in $0.5 y = 25 - 3 x - 0.25 z$ by $0.5$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $0.5 y = 25 - 3 x - 0.25 z$ by $0.5$ .

$\frac{0.5 y}{0.5} = \frac{25}{0.5} + \frac{- 3 x}{0.5} + \frac{- 0.25 z}{0.5}$

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.

$\frac{0.5 y}{0.5} = \frac{25}{0.5} + \frac{- 3 x}{0.5} + \frac{- 0.25 z}{0.5}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{25}{0.5} + \frac{- 3 x}{0.5} + \frac{- 0.25 z}{0.5}$

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 $25$ by $0.5$ .

$y = 50 + \frac{- 3 x}{0.5} + \frac{- 0.25 z}{0.5}$

Step 2.3.1.2

Move the negative in front of the fraction.

$y = 50 - \frac{3 x}{0.5} + \frac{- 0.25 z}{0.5}$

Step 2.3.1.3

Factor $3$ out of $3 x$ .

$y = 50 - \frac{3 (x)}{0.5} + \frac{- 0.25 z}{0.5}$

Step 2.3.1.4

Factor $0.5$ out of $0.5$ .

$y = 50 - \frac{3 (x)}{0.5 (1)} + \frac{- 0.25 z}{0.5}$

Step 2.3.1.5

Separate fractions.

$y = 50 - (\frac{3}{0.5} \cdot \frac{x}{1}) + \frac{- 0.25 z}{0.5}$

Step 2.3.1.6

Divide $3$ by $0.5$ .

$y = 50 - (6 \frac{x}{1}) + \frac{- 0.25 z}{0.5}$

Step 2.3.1.7

Divide $x$ by $1$ .

$y = 50 - (6 x) + \frac{- 0.25 z}{0.5}$

Step 2.3.1.8

Multiply $6$ by $- 1$ .

$y = 50 - 6 x + \frac{- 0.25 z}{0.5}$

Step 2.3.1.9

Move the negative in front of the fraction.

$y = 50 - 6 x - \frac{0.25 z}{0.5}$

Step 2.3.1.10

Factor $0.25$ out of $0.25 z$ .

$y = 50 - 6 x - \frac{0.25 (z)}{0.5}$

Step 2.3.1.11

Factor $0.5$ out of $0.5$ .

$y = 50 - 6 x - \frac{0.25 (z)}{0.5 (1)}$

Step 2.3.1.12

Separate fractions.

$y = 50 - 6 x - (\frac{0.25}{0.5} \cdot \frac{z}{1})$

Step 2.3.1.13

Divide $0.25$ by $0.5$ .

$y = 50 - 6 x - (0.5 \frac{z}{1})$

Step 2.3.1.14

Cancel the common factor of $0.5$ .

Tap for more steps...

Step 2.3.1.14.1

Factor $0.5$ out of $1$ .

$y = 50 - 6 x - (0.5 \frac{z}{0.5 \cdot 2})$

Step 2.3.1.14.2

Cancel the common factor.

$y = 50 - 6 x - (0.5 \frac{z}{0.5 \cdot 2})$

Step 2.3.1.14.3

Rewrite the expression.

$y = 50 - 6 x - \frac{z}{2}$