First, let's distribute the negative sign to the terms inside the second parentheses:
\[ -1 \cdot (2 y^{2}-6 y-2) = -2 y^{2} + 6 y + 2 \]
Now, we can rewrite the expression as:
\[ (-4 y^{2}-3 y+8) - (2 y^{2}-6 y-2) = -4 y^{2}-3 y+8 -2 y^{2} + 6 y + 2 \]
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