Hi. Does anyone have any resources (videos/other tricks or tips) on how to quickly solve these big fraction questions? I arrive at the right answer but I just take far too long to complete these.

Choose numbers (but make sure you’re not making denominator zero) or look for making denominator the same !

here , you need the denominator of the lower term to be 2x-y so, that you can cancel it

\frac{3y}{y-2x}+5 =\frac{-1(10x-y)}{-1(2x-y)} here, you can cancel the -1 and you got your answer!