Basic Math Examples

$- y + 5 = 11 + 5 z - 3$

Step 1

Subtract $3$ from $11$ .

$- y + 5 = 5 z + 8$

Step 2

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

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Step 2.1

Subtract $5$ from both sides of the equation.

$- y = 5 z + 8 - 5$

Step 2.2

Subtract $5$ from $8$ .

$- y = 5 z + 3$

Step 3

Divide each term in $- y = 5 z + 3$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- y = 5 z + 3$ by $- 1$ .

$\frac{- y}{- 1} = \frac{5 z}{- 1} + \frac{3}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{5 z}{- 1} + \frac{3}{- 1}$

Step 3.2.2

Divide $y$ by $1$ .

$y = \frac{5 z}{- 1} + \frac{3}{- 1}$

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 $\frac{5 z}{- 1}$ .

$y = - 1 \cdot (5 z) + \frac{3}{- 1}$

Step 3.3.1.2

Rewrite $- 1 \cdot (5 z)$ as $- (5 z)$ .

$y = - (5 z) + \frac{3}{- 1}$

Step 3.3.1.3

Multiply $5$ by $- 1$ .

$y = - 5 z + \frac{3}{- 1}$

Step 3.3.1.4

Divide $3$ by $- 1$ .

$y = - 5 z - 3$