Answer:
Given equation is,
[tex]\lvert4y+4\rvert=8[/tex]we know that,
Modulus function: A modulus function is a function which gives the absolute value of a number or variable. It produces the magnitude of the number of variables. It is also termed as an absolute value function.
we get,
[tex]4y+4=\pm8[/tex][tex]4y=\pm8-4[/tex][tex]y=\frac{\pm8-4}{4}[/tex][tex]y=\pm2-1[/tex][tex]\begin{gathered} y=2-1=1; \\ y=-2-1=-3 \end{gathered}[/tex]we get,
[tex]y=1,-3[/tex]Answer is:
[tex]y=1,-3[/tex]