please help me with this one I have been try to solve it for a while , thank you very much.

Answer:
[tex]\displaystyle y=\frac{tx-m-s}{r}[/tex]
The only limitation is for r which must not be zero
Step-by-step explanation:
Solving Equations
We need to perform some steps to isolate the required variable and solve the equation. It's commonly the application of algebraic operations contrary to the ones already present in the expression to work with
We have
[tex]ry+s=tx-m[/tex]
And we need to solve for y
Let's add -s to both sides of the equation
[tex]ry+s-s=tx-m-s[/tex]
Simplifying
[tex]ry=tx-m-s[/tex]
Now we divide by r
[tex]ry/r=(tx-m-s)/r[/tex]
Solving
[tex]\displaystyle y=\frac{tx-m-s}{r}[/tex]
The only limitation is for r which must not be zero