Algebra Examples

$\frac{- 20 y + 30}{- 2 y + 6}$

Step 1

Set the denominator in $\frac{- 20 y + 30}{- 2 y + 6}$ equal to $0$ to find where the expression is undefined.

$- 2 y + 6 = 0$

Step 2

Solve for $y$ .

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Step 2.1

Subtract $6$ from both sides of the equation.

$- 2 y = - 6$

Step 2.2

Divide each term in $- 2 y = - 6$ by $- 2$ and simplify.

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Step 2.2.1

Divide each term in $- 2 y = - 6$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{- 6}{- 2}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $- 2$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{- 6}{- 2}$

Step 2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 6}{- 2}$

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Divide $- 6$ by $- 2$ .

$y = 3$

Step 3