Solve 4by=2(4y-8)

$$4 b y = 2 ( 4 y - 8 )$$

Solve for b

$$b=2-\frac{4}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 4y-8.

$$4by=8y-16$$

The equation is in standard form.

$$4yb=8y-16$$

Divide both sides by 4y.

$$\frac{4yb}{4y}=\frac{8y-16}{4y}$$

Dividing by 4y undoes the multiplication by 4y.

$$b=\frac{8y-16}{4y}$$

Divide -16+8y by 4y.

$$b=2-\frac{4}{y}$$

Solve for y

$$y=-\frac{4}{b-2}$$

$$b\neq 2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 4y-8.

$$4by=8y-16$$

Subtract 8y from both sides.

$$4by-8y=-16$$

Combine all terms containing y.

$$\left(4b-8\right)y=-16$$

Divide both sides by 4b-8.

$$\frac{\left(4b-8\right)y}{4b-8}=-\frac{16}{4b-8}$$

Dividing by 4b-8 undoes the multiplication by 4b-8.

$$y=-\frac{16}{4b-8}$$

Divide -16 by 4b-8.

$$y=-\frac{4}{b-2}$$