Step 1
Given;
[tex]\begin{gathered} |y-4|=7 \\ \end{gathered}[/tex]
Required; To find y
Step 2
[tex]\begin{gathered} y-4=-7\quad \mathrm{or}\quad \:y-4=7 \\ if\text{ y-4=7} \\ y=7+4=11 \\ if\text{ y-4=-7} \\ y=-7+4 \\ y=-3 \\ y=-3\quad \mathrm{or}\quad \:y=11 \end{gathered}[/tex]
Answer; Option C
[tex]y=-3\quad \mathrm{or}\quad \:y=11[/tex]
