Basic Math Examples

$6 = - \frac{1}{2} y$

Step 1

Rewrite the equation as $- \frac{1}{2} y = 6$ .

$- \frac{1}{2} y = 6$

Step 2

Multiply both sides of the equation by $- 2$ .

$- 2 (- \frac{1}{2} y) = - 2 \cdot 6$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $- 2 (- \frac{1}{2} y)$ .

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Step 3.1.1.1

Combine $y$ and $\frac{1}{2}$ .

$- 2 (- \frac{y}{2}) = - 2 \cdot 6$

Step 3.1.1.2

Cancel the common factor of $2$ .

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Step 3.1.1.2.1

Move the leading negative in $- \frac{y}{2}$ into the numerator.

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

Step 3.1.1.2.2

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{- y}{2} = - 2 \cdot 6$

Step 3.1.1.2.3

Cancel the common factor.

$2 \cdot - 1 \frac{- y}{2} = - 2 \cdot 6$

Step 3.1.1.2.4

Rewrite the expression.

$- - y = - 2 \cdot 6$

$- - y = - 2 \cdot 6$

Step 3.1.1.3

Multiply.

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Step 3.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 y = - 2 \cdot 6$

Step 3.1.1.3.2

Multiply $y$ by $1$ .

$y = - 2 \cdot 6$

$y = - 2 \cdot 6$

$y = - 2 \cdot 6$

$y = - 2 \cdot 6$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $- 2$ by $6$ .

$y = - 12$

$y = - 12$

$y = - 12$

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