Solve ay-5=3y-25

$$a y - 5 = 3 y - 25$$

Solve for a

$$a=3-\frac{20}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Add 5 to both sides.

$$ay=3y-25+5$$

Add -25 and 5 to get -20.

$$ay=3y-20$$

The equation is in standard form.

$$ya=3y-20$$

Divide both sides by y.

$$\frac{ya}{y}=\frac{3y-20}{y}$$

Dividing by y undoes the multiplication by y.

$$a=\frac{3y-20}{y}$$

Divide 3y-20 by y.

$$a=3-\frac{20}{y}$$

Solve for y

$$y=-\frac{20}{a-3}$$

$$a\neq 3$$

Steps for Solving Linear Equation

Subtract 3y from both sides.

$$ay-5-3y=-25$$

Add 5 to both sides.

$$ay-3y=-25+5$$

Add -25 and 5 to get -20.

$$ay-3y=-20$$

Combine all terms containing y.

$$\left(a-3\right)y=-20$$

Divide both sides by a-3.

$$\frac{\left(a-3\right)y}{a-3}=-\frac{20}{a-3}$$

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

$$y=-\frac{20}{a-3}$$