If a line is parallel to another line, the only thing that's different in the equation is the y-intercept. Therefore we can solve for the y-intercept using the point (4,4)...
Note that the slope-intercept equation is y=mx+b where b is the y-intercept and m is the slope. x and y are the x and y coordinate pairs.
y=2x+b
4=2(4)+b
4=8+b
b=-4
Therefore the equation of the line that is parallel to y=2x+4 and passes through (4,4) is...