Basic Math Examples

$7 z - 5 y = 35$

Step 1

Subtract $7 z$ from both sides of the equation.

$- 5 y = 35 - 7 z$

Step 2

Divide each term in $- 5 y = 35 - 7 z$ by $- 5$ and simplify.

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Step 2.1

Divide each term in $- 5 y = 35 - 7 z$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{35}{- 5} + \frac{- 7 z}{- 5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{35}{- 5} + \frac{- 7 z}{- 5}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{35}{- 5} + \frac{- 7 z}{- 5}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Divide $35$ by $- 5$ .

$y = - 7 + \frac{- 7 z}{- 5}$

Step 2.3.1.2

Dividing two negative values results in a positive value.

$y = - 7 + \frac{7 z}{5}$