Solve For Y 2F839F

1. **State the problem:** We need to solve the linear equation $$Ax + By = C$$ for the variable $$y$$. 2. **Isolate the term with $$y$$:** Subtract $$Ax$$ from both sides to get: $$Ax + By - Ax = C - Ax$$ which simplifies to $$By = C - Ax$$ 3. **Solve for $$y$$:** Divide both sides by $$B$$ to isolate $$y$$: $$\frac{By}{\cancel{B}} = \frac{C - Ax}{\cancel{B}}$$ which simplifies to $$y = \frac{C - Ax}{B}$$ 4. **Final answer:** $$\boxed{y = \frac{C - Ax}{B}}$$ This formula expresses $$y$$ in terms of $$x$$ and the constants $$A$$, $$B$$, and $$C$$. Remember, $$B$$ must not be zero for this division to be valid.