1. **State the problem:** Solve the linear equation $$y - 42935 = 5135(x - 4200)$$ for $y$. 2. **Recall the point-slope form of a line:** $$y - y_1 = m(x - x_1)$$ where $m$ is the slope and $(x_1, y_1)$ is a point on the line. 3. **Apply the formula:** Here, $m = 5135$, $x_1 = 4200$, and $y_1 = 42935$. 4. **Expand the right side:** $$y - 42935 = 5135x - 5135 \times 4200$$ 5. **Calculate the product:** $$5135 \times 4200 = 21567000$$ 6. **Rewrite the equation:** $$y - 42935 = 5135x - 21567000$$ 7. **Add 42935 to both sides to isolate $y$:** $$y = 5135x - 21567000 + 42935$$ 8. **Simplify the constants:** $$-21567000 + 42935 = -21524065$$ 9. **Final equation:** $$y = 5135x - 21524065$$ **Answer:** The equation solved for $y$ is $$y = 5135x - 21524065$$.