Find the inverse of:

y = ((-1) / (x+5)) - 1

y = -1/(x+5) - 1

step #1 in finding the inverse is to interchange the variables, so

x = -1/(y+5) - 1

now solve this for y

x+1 = -1/(y+5)
(x+1)(y+5) = -1
xy + 5x + y + 5 = -1
y(x+1) = -5x - 6
y = -(5x+6)/(x+1), x ≠ -1,-5