Answer:
![y=6(3)/(5)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/xno7gzyyo5d2v8fj3lomo2ouypt35q3fpr.png)
Explanation:
We are given the following equation for which we have to solve for y:
![7y+44=12y+11](https://img.qammunity.org/2019/formulas/mathematics/middle-school/xv8zr5q20kga5ikd1sjmwp2s01vw2xz9ip.png)
So first of all, we will rearrange the terms by putting the like terms together (variables on one side of the equation and constants on the other side) to get:
![12y-7y=44-11](https://img.qammunity.org/2019/formulas/mathematics/middle-school/j1lcz25am76zq7fbw6bjgkymnqtbqk5m15.png)
Then solving for y:
![5y=33\\\\y=(33)/(5)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/lere1lgklmnpozmqcrd8oynmirn0yuhyzy.png)
Therefore, the value of y is equal to
(rewriting y in a mixed fraction form).