Solve for g g/(e^2)-r=m-y

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

Add $r$ to both sides of the equation.

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

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

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

Simplify both sides of the equation.

Simplify the left side.

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Simplify the right side.

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

Apply the distributive property.

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

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

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

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

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

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

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

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

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

Move $e^{2}$ .

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

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

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

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

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

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

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