Solve py-3=3y-5

$$p y - 3 = 3 y - 5$$

Solve for p

$$p=3-\frac{2}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Add 3 to both sides.

$$py=3y-5+3$$

Add -5 and 3 to get -2.

$$py=3y-2$$

The equation is in standard form.

$$yp=3y-2$$

Divide both sides by y.

$$\frac{yp}{y}=\frac{3y-2}{y}$$

Dividing by y undoes the multiplication by y.

$$p=\frac{3y-2}{y}$$

Divide 3y-2 by y.

$$p=3-\frac{2}{y}$$

Solve for y

$$y=-\frac{2}{p-3}$$

$$p\neq 3$$

Steps for Solving Linear Equation

Subtract 3y from both sides.

$$py-3-3y=-5$$

Add 3 to both sides.

$$py-3y=-5+3$$

Add -5 and 3 to get -2.

$$py-3y=-2$$

Combine all terms containing y.

$$\left(p-3\right)y=-2$$

Divide both sides by p-3.

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

Dividing by p-3 undoes the multiplication by p-3.

$$y=-\frac{2}{p-3}$$