1. The problem is to solve the equation $$y(600 - t)^{-5} = 3(600 - t)^{-4} + C$$ for $y$. 2. To isolate $y$, multiply both sides of the equation by $(600 - t)^5$ to eliminate the negative exponents: $$y(600 - t)^{-5} \times (600 - t)^5 = \left(3(600 - t)^{-4} + C\right) \times (600 - t)^5$$ 3. Simplify the left side: $$y \times (600 - t)^{-5 + 5} = y \times (600 - t)^0 = y$$ 4. Simplify the right side by distributing $(600 - t)^5$: $$3(600 - t)^{-4} \times (600 - t)^5 + C \times (600 - t)^5 = 3(600 - t)^{1} + C(600 - t)^5$$ 5. Therefore, the solution for $y$ is: $$y = 3(600 - t) + C(600 - t)^5$$ This matches the expression you provided, confirming the step where the $-4$ exponent disappears after multiplication. Final answer: $$y = 3(600 - t) + C(600 - t)^5$$