Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 14y-6 \\ Q(x) &= 3y+27 \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & 14y & -6 \\ \color{red}{ - } & 3y & 27 \\ \hline \end{array} $$Step 3: Change ALL the signs in the second row.
$$ \begin{array}{lrr} & 14y & -6 \\ \color{red}{ - } & -3y & -27 \\ \hline \end{array} $$Step 4: Combine like terms (add each column):
$$ \begin{array}{lrr} & 14y & -6 \\ \color{red}{ - } & -3y & -27 \\ \hline & 17y & 21 \end{array} $$