Subjects algebra

Solve For Y 869C84

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** Solve for $y$ in the equation $$2(3y + 7) = 68$$. 2. **Use the distributive property:** Multiply 2 by each term inside the parentheses: $$2 \times 3y + 2 \times 7 = 6y + 14$$ So the equation becomes: $$6y + 14 = 68$$ 3. **Isolate the term with $y$:** Subtract 14 from both sides: $$6y + \cancel{14} - \cancel{14} = 68 - 14$$ $$6y = 54$$ 4. **Solve for $y$ by dividing both sides by 6:** $$\frac{6y}{\cancel{6}} = \frac{54}{\cancel{6}}$$ $$y = 9$$ 5. **Final answer:** $$\boxed{9}$$