Note that if two fractions have the same denominator they may be combined.

Mathematically:

Difference of two squares:

1.

Multiply each side by y-2 to clear the denominator (note that the right side will be the difference of two squares so it'd be easier to expand). Then take 5 from each side and solve the quadratic (this will also be the difference of two squares)

2.

You can then combine the left side and multiply through by 3x to give

and solve the quadratic using your favourite method

3.

Cross multiply to give . Expand and solve.

4.

Combine denominator to give:

In this case x-4 will cancel (but remember that x=4 cannot be a solution). can be solved using the difference of two squares.

5.

Do the same as in question 4 but solve instead.