Algebra Examples

$\frac{g}{e^{2}} - r = m - y$

Step 1

Add $r$ to both sides of the equation.

$\frac{g}{e^{2}} = m - y + r$

Step 2

Multiply both sides of the equation by $e^{2}$ .

$e^{2} \frac{g}{e^{2}} = e^{2} (m - y + r)$

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

Cancel the common factor of $e^{2}$ .

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Step 3.1.1.1

Cancel the common factor.

$e^{2} \frac{g}{e^{2}} = e^{2} (m - y + r)$

Step 3.1.1.2

Rewrite the expression.

$g = e^{2} (m - y + r)$

$g = e^{2} (m - y + r)$

$g = e^{2} (m - y + r)$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $e^{2} (m - y + r)$ .

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Step 3.2.1.1

Apply the distributive property.

$g = e^{2} m + e^{2} (- y) + e^{2} r$

Step 3.2.1.2

Reorder factors in $e^{2} m + e^{2} (- y) + e^{2} r$ .

$g = e^{2} m - e^{2} y + e^{2} r$

$g = e^{2} m - e^{2} y + e^{2} r$

$g = e^{2} m - e^{2} y + e^{2} r$

$g = e^{2} m - e^{2} y + e^{2} r$

Step 4

Simplify $e^{2} m - e^{2} y + e^{2} r$ .

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Step 4.1

Reorder $e^{2}$ and $m$ .

$g = m e^{2} - e^{2} y + e^{2} r$

Step 4.2

Move $e^{2}$ .

$g = m e^{2} - 1 y e^{2} + e^{2} r$

Step 4.3

Reorder $e^{2}$ and $r$ .

$g = m e^{2} - 1 y e^{2} + r e^{2}$

Step 4.4

Move $- 1 y e^{2}$ .

$g = m e^{2} + r e^{2} - 1 y e^{2}$

$g = m e^{2} + r e^{2} - 1 y e^{2}$

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