Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -2v^2 & -8v & -7 \\ \color{red}{ - } & & -4v & 8 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & -2v^2 & -8v & -7 \\ \color{red}{ - } & & 4v & -8 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -2v^2 & -8v & -7 \\ \color{red}{ - } & & 4v & -8 \\ \hline & -2v^2 & -12v & 1 \end{array} $$