Basic Math Examples

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

Step 1

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

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

Step 2

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

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

Step 3

Add $1$ to both sides of the equation.

$\frac{z}{2} = y + 1$

Step 4

Multiply both sides of the equation by $2$ .

$2 \frac{z}{2} = 2 (y + 1)$

Step 5

Simplify both sides of the equation.

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Step 5.1

Simplify the left side.

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Step 5.1.1

Cancel the common factor of $2$ .

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Step 5.1.1.1

Cancel the common factor.

$2 \frac{z}{2} = 2 (y + 1)$

Step 5.1.1.2

Rewrite the expression.

$z = 2 (y + 1)$

$z = 2 (y + 1)$

$z = 2 (y + 1)$

Step 5.2

Simplify the right side.

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Step 5.2.1

Simplify $2 (y + 1)$ .

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Step 5.2.1.1

Apply the distributive property.

$z = 2 y + 2 \cdot 1$

Step 5.2.1.2

Multiply $2$ by $1$ .

$z = 2 y + 2$

$z = 2 y + 2$

$z = 2 y + 2$

$z = 2 y + 2$

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