1. **State the problem:** Solve the system of equations: $$6x - 5y = 12$$ $$y = -2 + 20$$ 2. **Simplify the second equation:** $$y = -2 + 20 = 18$$ 3. **Substitute $y = 18$ into the first equation:** $$6x - 5(18) = 12$$ 4. **Simplify and solve for $x$:** $$6x - 90 = 12$$ $$6x = 12 + 90$$ $$6x = 102$$ $$x = \frac{102}{6} = 17$$ 5. **Final solution:** $$x = 17, \quad y = 18$$ This means the solution to the system is the point $(17, 18)$ where both equations are satisfied.