Given
$$x = - 4 / 7$$ and $$y = 2 / 5$$
Now,
$$x - y = - 4 / 7 - (2 / 5)$$
$$= - 4 / 7 - 2 / 5$$
Taking L.C.M. we get,
$$= (- 20 - 14) / 35$$
$$= - 34 / 35$$
And
$$y - x = 2 / 5 - (- 4 / 7)$$
$$= 2 / 5 + 4 / 7$$
Taking L.C.M. we get,
$$= (14 + 20) / 35$$
$$= 34 / 35$$
Therefore, $$x - y\neq y - x$$.