Answer:
Given equation is,
![\lvert4y+4\rvert=8](https://img.qammunity.org/2023/formulas/mathematics/college/t87c5886ebddgy2ozr3sjqjiz4piamoy61.png)
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,
![4y+4=\pm8](https://img.qammunity.org/2023/formulas/mathematics/college/w8hg009z4qiu04cqk5omt0sg6o5akvi2ki.png)
![4y=\pm8-4](https://img.qammunity.org/2023/formulas/mathematics/college/cfsoyu4d2mvrsj4nuconxktxdtyj7kzny9.png)
![y=(\pm8-4)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/x3igq7xdy4tfh8ehz6aqreoffxeecb90x9.png)
![y=\pm2-1](https://img.qammunity.org/2023/formulas/mathematics/college/9e8w6z63r5pwbqqc60rxw46k7p3kp4y2w8.png)
![\begin{gathered} y=2-1=1; \\ y=-2-1=-3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/f3v1lawu676zux6df9xgrli6wqjg8glb64.png)
we get,
![y=1,-3](https://img.qammunity.org/2023/formulas/mathematics/college/bpyxe9dt8dble93wxvfn8wrikcwis6r5x1.png)
Answer is:
![y=1,-3](https://img.qammunity.org/2023/formulas/mathematics/college/bpyxe9dt8dble93wxvfn8wrikcwis6r5x1.png)