first you have to convert it to slope intercept formula and to do that you solve for y
4y=3x+5
y=3/4x+5/4
so once we get that, we know that the slope is 3/4 and parallel means that the line has the same slope. so...we just rewrite a different y-intercept number which is the number at the end.
I just happened to rewrite it using 2 but you could write any other number and it would work just fine.