Basic Math Examples

$72 = - 2 (- 6 + 5 y)$

Step 1

Rewrite the equation as $- 2 (- 6 + 5 y) = 72$ .

$- 2 (- 6 + 5 y) = 72$

Step 2

Divide each term in $- 2 (- 6 + 5 y) = 72$ by $- 2$ and simplify.

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Step 2.1

Divide each term in $- 2 (- 6 + 5 y) = 72$ by $- 2$ .

$\frac{- 2 (- 6 + 5 y)}{- 2} = \frac{72}{- 2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 2 (- 6 + 5 y)}{- 2} = \frac{72}{- 2}$

Step 2.2.1.2

Divide $- 6 + 5 y$ by $1$ .

$- 6 + 5 y = \frac{72}{- 2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $72$ by $- 2$ .

$- 6 + 5 y = - 36$

Step 3

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

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Step 3.1

Add $6$ to both sides of the equation.

$5 y = - 36 + 6$

Step 3.2

Add $- 36$ and $6$ .

$5 y = - 30$

Step 4

Divide each term in $5 y = - 30$ by $5$ and simplify.

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Step 4.1

Divide each term in $5 y = - 30$ by $5$ .

$\frac{5 y}{5} = \frac{- 30}{5}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $5$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{5 y}{5} = \frac{- 30}{5}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 30}{5}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 30$ by $5$ .

$y = - 6$