Let's use the general equation of the lines and the fact that, if the lines are parallel, they have the same slope. The slope is 4/3.
You find it by isolating y in the general equation, which you did right. ok?
Now let's use the general formula
(y-y0) = m(x - x0)
y- 7 = 4/3 (x - 2)
y - 7 = 4/3x - 8/3
y = 4/3x -8/3 +21/3
y = 4/3x + 13/3