1. **State the problem:** Solve the equation $6(2y-15) + 2 = 56$ for $y$. 2. **Apply the distributive property:** Multiply 6 by each term inside the parentheses: $$6 \times 2y - 6 \times 15 + 2 = 56$$ which simplifies to $$12y - 90 + 2 = 56$$ 3. **Combine like terms:** $$12y - 88 = 56$$ 4. **Isolate the term with $y$:** Add 88 to both sides: $$12y - 88 + 88 = 56 + 88$$ $$12y = 144$$ 5. **Solve for $y$ by dividing both sides by 12:** $$\frac{\cancel{12}y}{\cancel{12}} = \frac{144}{12}$$ $$y = 12$$ **Final answer:** $$y = 12$$