Basic Math Examples

$4 p - 4 y = 11$

Step 1

Subtract $4 p$ from both sides of the equation.

$- 4 y = 11 - 4 p$

Step 2

Divide each term in $- 4 y = 11 - 4 p$ by $- 4$ and simplify.

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Step 2.1

Divide each term in $- 4 y = 11 - 4 p$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{11}{- 4} + \frac{- 4 p}{- 4}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 4$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{11}{- 4} + \frac{- 4 p}{- 4}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{11}{- 4} + \frac{- 4 p}{- 4}$

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

Move the negative in front of the fraction.

$y = - \frac{11}{4} + \frac{- 4 p}{- 4}$

Step 2.3.1.2

Cancel the common factor of $- 4$ .

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Step 2.3.1.2.1

Cancel the common factor.

$y = - \frac{11}{4} + \frac{- 4 p}{- 4}$

Step 2.3.1.2.2

Divide $p$ by $1$ .

$y = - \frac{11}{4} + p$