The equation is .

Apply zero product property: If ab = 0 then a = 0, b = 0.

First .

Apply subtraction property of equality: If a = b then a b = b a.

Subtract 9 from each side.

Apply additive inverse property: .

Divide each side by 3.

Second .

Apply subtraction property of equality: If a = b then a + b = b + a.

Add 7 to each side.

Apply additive inverse property: .

Check:

To check the solution substitute  in .

Apply additive inverse property: .

The first solution is true.

To check the solution substitute in .

Apply additive inverse property: 77  = 0.

The first solution is true.

The values of y = 3, 7.