If y varies inversely as x, it means that y * x is a constant. We can write this as y * x = k, where k is the constant of variation.
Given that y = 14 when x = 8, we can find k:
14 * 8 = k
k = 112
Now we can use this constant to find y when x = 7:
y * 7 = 112
y = 112 / 7
y = 16