To solve the given equations:

1) 7x = -95

To isolate x, divide both sides by 7:
x = -95/7
x = -13.57 (rounded to two decimal places)

2) 5/6y - 3/4y + 1 = 2/3y - 1/6

To simplify the equation:
Common denominator of 12:
10y/12 - 9y/12 + 12/12 = 8y/12 - 2/12
(10y - 9y + 12)/12 = (8y - 2)/12
(y + 12)/12 = (8y - 2)/12

Now cross multiply to get rid of the denominator:
12(8y - 2) = 12(y + 12)
96y - 24 = 12y + 144
96y - 12y = 144 + 24
84y = 168
y = 168/84
y = 2

Therefore, the solutions are:
1) x = -13.57
2) y = 2