Solve 8xy-2y=3

$$8 x y - 2 y = 3$$

Solve for x

$$x=\frac{1}{4}+\frac{3}{8y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Add 2y to both sides.

$$8xy=3+2y$$

The equation is in standard form.

$$8yx=2y+3$$

Divide both sides by 8y.

$$\frac{8yx}{8y}=\frac{2y+3}{8y}$$

Dividing by 8y undoes the multiplication by 8y.

$$x=\frac{2y+3}{8y}$$

Divide 3+2y by 8y.

$$x=\frac{1}{4}+\frac{3}{8y}$$

Solve for y

$$y=\frac{3}{2\left(4x-1\right)}$$

$$x\neq \frac{1}{4}$$

Steps for Solving Linear Equation

Combine all terms containing y.

$$\left(8x-2\right)y=3$$

Divide both sides by 8x-2.

$$\frac{\left(8x-2\right)y}{8x-2}=\frac{3}{8x-2}$$

Dividing by 8x-2 undoes the multiplication by 8x-2.

$$y=\frac{3}{8x-2}$$

Divide 3 by 8x-2.

$$y=\frac{3}{2\left(4x-1\right)}$$