1. **State the problem:** Solve the equation for $y$ in the equation $$-3y + 8 = 83$$. 2. **Isolate the term with $y$:** Subtract 8 from both sides to get rid of the constant on the left side. $$-3y + 8 - 8 = 83 - 8$$ $$-3y = 75$$ 3. **Solve for $y$:** Divide both sides by $-3$ to isolate $y$. $$y = \frac{75}{-3}$$ 4. **Simplify the fraction:** $$y = \cancel{\frac{75}{-3}} = -25$$ 5. **Final answer:** $$y = -25$$ This means the value of $y$ that satisfies the equation is $-25$.