To solve the equation \( 6y - 5 = 7 \), follow these steps:

1. Add 5 to both sides to eliminate the \(-5\) on the left side:
   \[
   6y - 5 + 5 = 7 + 5
   \]
   \[
   6y = 12
   \]

2. Divide both sides by 6 to solve for \( y \):
   \[
   y = \frac{12}{6}
   \]
   \[
   y = 2
   \]

The solution is \( y = 2 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you solve \( 5x - 3 = 12 \)?
2. What happens if the equation had \( 6y + 5 = 7 \) instead?
3. How do you solve for \( y \) in the equation \( 3y - 2 = 4y + 1 \)?
4. What are the steps to solve \( 7y - 10 = 4 \)?
5. Can you solve \( 4y - 8 = 2y + 10 \)?

**Tip:** When solving linear equations, always aim to isolate the variable on one side.

Learn how to solve the linear equation 6y - 5 = 7 with a step-by-step guide. This problem covers key algebraic concepts like isolating variables and balancing equations. Suitable for students in Grades 6-8.

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