Subtract the following and simplify the difference if possible. 4 y 3 − − 5 y 3 \frac{4y}{3}-\frac{-5y}{3}

This problem asks us to subtract the following and simplify the difference if possible. So we have four y over three minus negative five y over three. Now what I can do here is recognize that I have a common denominator of three. So you can go ahead and subtract the numerators. So we're gonna have four y, that's going to be a minus, and then we have this negative five y. And then in the denominator we're going to have three. Now we'll have four y and then a negative, whenever we subtract off a negative, we end up just getting a positive. So we get plus five y, then all of this will be over three. Now four plus five, four y plus five y, that comes up to nine y, then all of this will be over three. Now there is another step that we need to do here, because we need to see if this will simplify any farther. And it actually will because I noticed that nine is the same thing as three times three, and then we have that y. And then in the denominator, we still have a three, which means I can cancel one of the threes on top. So all we're gonna get end up getting as our final answer is three y left over, and this right here would be the final answer and the solution to the problem.