Solve for b d-4g=1/4b

$d - 4 g = \frac{1}{4} b$

Rewrite the equation as $\frac{1}{4} b = d - 4 g$ .

$\frac{1}{4} b = d - 4 g$

Multiply both sides of the equation by $4$ .

$4 (\frac{1}{4} b) = 4 (d - 4 g)$

Simplify both sides of the equation.

Simplify the left side.

Simplify $4 (\frac{1}{4} b)$ .

Combine $\frac{1}{4}$ and $b$ .

$4 \frac{b}{4} = 4 (d - 4 g)$

Cancel the common factor of $4$ .

Cancel the common factor.

$4 \frac{b}{4} = 4 (d - 4 g)$

Rewrite the expression.

$b = 4 (d - 4 g)$

Simplify the right side.

Simplify $4 (d - 4 g)$ .

Apply the distributive property.

$b = 4 d + 4 (- 4 g)$

Multiply $- 4$ by $4$ .

$b = 4 d - 16 g$