Cubic yard = 27 cubic feet, wheelbarrow = 4 cubic feet, 27/4 = 6.75 trips per yard,
6.75 trips x 7 yards = 47.25 trips. 5 minutes out and back per trip x 47.25 trips = 236 minutes/60 = 3.94 hours.
Of course 2 contractor wheelbarrows and two guys would cut the time in half.
Splitting a full load with your neighbor might be hard to get in.
A contractors wheelbarrow is 6 cubic foot but that’s full to the top and I think 4 is a reasonable number without making a mess.
I don’t know the time per trip at your house and guessed at the 5 minutes. the first push a guy will go a lot faster than the 47 th push. With two guys dumping and two guys working the mud that know what they are doing I think would be very busy for a couple hours.