[tex]\begin{gathered} \frac{1}{2}(2y+4)=-6 \\ \text{Distributive property }means\text{ you multiply each element separately, then} \\ add\text{ their products } \\ \text{Multiplying }eachside\text{ by 2 we have:} \\ 2\cdot\frac{1}{2}(2y+4)=(-6)\cdot2 \\ 2y+4=-12 \\ 2y=-12-4 \\ 2y=-16 \\ y=-8 \end{gathered}[/tex]