Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 2y^2 & 7y & 11 \\ \color{blue}{ + } & 8y^2 & -5y & 7 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 2y^2 & 7y & 11 \\ \color{blue}{ + } & 8y^2 & -5y & 7 \\ \hline & 10y^2 & 2y & 18 \end{array} $$