1. **State the problem:** We are given the linear equation $$3y - 4x = 24$$ and asked to find the value of $$y$$ when $$x = -3$$. 2. **Formula and rules:** The equation is linear and can be solved by substituting the given value of $$x$$ and then isolating $$y$$. 3. **Substitute $$x = -3$$ into the equation:** $$3y - 4(-3) = 24$$ 4. **Simplify the equation:** $$3y + 12 = 24$$ 5. **Isolate $$y$$:** $$3y = 24 - 12$$ $$3y = 12$$ 6. **Solve for $$y$$:** $$y = \frac{12}{3} = 4$$ **Final answer:** When $$x = -3$$, the value of $$y$$ is $$4$$.