Let's solve the equation \(3y + 4y - 5 = 51\).

1. Combine like terms:
   \[
   7y - 5 = 51
   \]

2. Add 5 to both sides:
   \[
   7y = 56
   \]

3. Divide by 7:
   \[
   y = 8
   \]

So, \(y = 8\). Would you like any details or further questions on this? 

Here are some related questions to consider:

1. What are the steps to solve a linear equation?
2. How can we check if our solution is correct?
3. What would happen if the equation had a different constant on the right side?
4. How do you graph the solution of a linear equation?
5. Can you explain the concept of like terms? 

Tip: Always combine like terms first to simplify equations!

Learn how to solve the linear equation 3y + 4y - 5 = 51 step by step. This algebra problem focuses on combining like terms, using the addition and division properties of equality, and is suitable for students in Grades 6-8.

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