Basic Math Examples

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

Step 1

Multiply both sides by $5$ .

$\frac{6 (5 - y)}{5} \cdot 5 = - y \cdot 5$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{6 (5 - y)}{5} \cdot 5$ .

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Step 2.1.1.1

Cancel the common factor of $5$ .

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Step 2.1.1.1.1

Cancel the common factor.

$\frac{6 (5 - y)}{5} \cdot 5 = - y \cdot 5$

Step 2.1.1.1.2

Rewrite the expression.

$6 (5 - y) = - y \cdot 5$

Step 2.1.1.2

Apply the distributive property.

$6 \cdot 5 + 6 (- y) = - y \cdot 5$

Step 2.1.1.3

Simplify the expression.

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Step 2.1.1.3.1

Multiply $6$ by $5$ .

$30 + 6 (- y) = - y \cdot 5$

Step 2.1.1.3.2

Multiply $- 1$ by $6$ .

$30 - 6 y = - y \cdot 5$

Step 2.1.1.3.3

Reorder $30$ and $- 6 y$ .

$- 6 y + 30 = - y \cdot 5$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $5$ by $- 1$ .

$- 6 y + 30 = - 5 y$

Step 3

Solve for $y$ .

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Step 3.1

Move all terms containing $y$ to the left side of the equation.

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Step 3.1.1

Add $5 y$ to both sides of the equation.

$- 6 y + 30 + 5 y = 0$

Step 3.1.2

Add $- 6 y$ and $5 y$ .

$- y + 30 = 0$

Step 3.2

Subtract $30$ from both sides of the equation.

$- y = - 30$

Step 3.3

Divide each term in $- y = - 30$ by $- 1$ and simplify.

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Step 3.3.1

Divide each term in $- y = - 30$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 30}{- 1}$

Step 3.3.2

Simplify the left side.

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Step 3.3.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 30}{- 1}$

Step 3.3.2.2

Divide $y$ by $1$ .

$y = \frac{- 30}{- 1}$

Step 3.3.3

Simplify the right side.

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Step 3.3.3.1

Divide $- 30$ by $- 1$ .

$y = 30$