Basic Math Examples

$5 + y = 8 - z$

Step 1

Rewrite the equation as $8 - z = 5 + y$ .

$8 - z = 5 + y$

Step 2

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

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Step 2.1

Subtract $8$ from both sides of the equation.

$- z = 5 + y - 8$

Step 2.2

Subtract $8$ from $5$ .

$- z = y - 3$

Step 3

Divide each term in $- z = y - 3$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- z = y - 3$ by $- 1$ .

$\frac{- z}{- 1} = \frac{y}{- 1} + \frac{- 3}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{z}{1} = \frac{y}{- 1} + \frac{- 3}{- 1}$

Step 3.2.2

Divide $z$ by $1$ .

$z = \frac{y}{- 1} + \frac{- 3}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Move the negative one from the denominator of $\frac{y}{- 1}$ .

$z = - 1 \cdot y + \frac{- 3}{- 1}$

Step 3.3.1.2

Rewrite $- 1 \cdot y$ as $- y$ .

$z = - y + \frac{- 3}{- 1}$

Step 3.3.1.3

Divide $- 3$ by $- 1$ .

$z = - y + 3$