Basic Math Examples

$4 a = 2 y + 40$

Step 1

Rewrite the equation as $2 y + 40 = 4 a$ .

$2 y + 40 = 4 a$

Step 2

Subtract $40$ from both sides of the equation.

$2 y = 4 a - 40$

Step 3

Divide each term in $2 y = 4 a - 40$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 y = 4 a - 40$ by $2$ .

$\frac{2 y}{2} = \frac{4 a}{2} + \frac{- 40}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{4 a}{2} + \frac{- 40}{2}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{4 a}{2} + \frac{- 40}{2}$

$y = \frac{4 a}{2} + \frac{- 40}{2}$

$y = \frac{4 a}{2} + \frac{- 40}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Cancel the common factor of $4$ and $2$ .

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Step 3.3.1.1.1

Factor $2$ out of $4 a$ .

$y = \frac{2 (2 a)}{2} + \frac{- 40}{2}$

Step 3.3.1.1.2

Cancel the common factors.

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Step 3.3.1.1.2.1

Factor $2$ out of $2$ .

$y = \frac{2 (2 a)}{2 (1)} + \frac{- 40}{2}$

Step 3.3.1.1.2.2

Cancel the common factor.

$y = \frac{2 (2 a)}{2 \cdot 1} + \frac{- 40}{2}$

Step 3.3.1.1.2.3

Rewrite the expression.

$y = \frac{2 a}{1} + \frac{- 40}{2}$

Step 3.3.1.1.2.4

Divide $2 a$ by $1$ .

$y = 2 a + \frac{- 40}{2}$

$y = 2 a + \frac{- 40}{2}$

$y = 2 a + \frac{- 40}{2}$

Step 3.3.1.2

Divide $- 40$ by $2$ .

$y = 2 a - 20$

$y = 2 a - 20$

$y = 2 a - 20$

$y = 2 a - 20$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$