Let's simplify the expression step by step.

4y - 2(10y - 1) + (8y - 2)

First, distribute the negative 2:

4y - 20y + 2 + 8y - 2

Combine like terms:

4y - 20y + 8y = -8y

(-8y) + 2 - 2 = 0

The simplified expression is:

-8y