This is actually incorrect. In proper algebra you cannot cancel out the two "love"s because they are being added/subtracted, not multiplied/divided. This equation is invalid. Do you not know how to solve a system of equations by elimination?
It's the oldest story in the world. One day you're 17 and you're planning for someday. And then quietly, without your ever really noticing, someday is today. And then someday is yesterday. And this is your life. -One Tree Hill