Hello there!
Question:-
![\sf \longmapsto53=y - 47.4](https://img.qammunity.org/2022/formulas/mathematics/high-school/1mraeab5xyab1azrg4kzbul7hgtr8eorq8.png)
This is a equation. We need to find the value of variable y.
Solution:-
![\sf \longmapsto53=y- 47.4](https://img.qammunity.org/2022/formulas/mathematics/high-school/2v7jpxldx2mgswcbwt0z3bad6xjjfqw83g.png)
To Solve further,we need to overturn the equation.
That is :-
![\sf \longmapsto \: y - 47.4 = 53](https://img.qammunity.org/2022/formulas/mathematics/high-school/2u7t7w4lckwgyvej8j5lcvxum3cz57zyes.png)
Then, Add +47.4 to two sides:-
![\sf \longmapsto \: y - 47.4 + 47.4 = 53 + 47.4](https://img.qammunity.org/2022/formulas/mathematics/high-school/wnbepazp40tfj5di27zkxi184ee0yvs0rh.png)
On Simplification:-
Note that (-) and (+) equals to (-). So it would be 47.4 - 47.4 . Which results to 0.
![\sf \longmapsto \: y - 0 = 100.4](https://img.qammunity.org/2022/formulas/mathematics/high-school/lwzc7sbvz6mz97qgmafxv3cod7y43h8jpg.png)
![\sf \longmapsto \: y = 100.4( Ans.)](https://img.qammunity.org/2022/formulas/mathematics/high-school/lz0jni2st1i9q3nuzz9i3430wyfzcb06nc.png)
Answer as a mixed fraction:-
![\sf \longmapsto 100(2)/(5)](https://img.qammunity.org/2022/formulas/mathematics/high-school/dka62o9kak9sf6nkvb0q4dk08oyfx0jjg8.png)
Answer as a fraction:-
![\sf\longmapsto 502/5](https://img.qammunity.org/2022/formulas/mathematics/high-school/lenrudtj2nf0sjc14clzma5peqe25m6p3n.png)
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Henceforth, the value of y is :-
![\bf \: y = 100.4](https://img.qammunity.org/2022/formulas/mathematics/high-school/ykjompnv487ox1vd75nq3oqcevnmx6bwo4.png)
Or as a mixed fraction:-
![\bf y = 100(2)/(5)](https://img.qammunity.org/2022/formulas/mathematics/high-school/28j37uv8zooi4z1e5r0enil8phxd7yu333.png)
Or as a fraction:-
![\bf y = 502/5](https://img.qammunity.org/2022/formulas/mathematics/high-school/nvc88fsagjb1r1cz73goqka674i08p4ubp.png)
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I hope this helps!
Please let me know if you have any questions.