To solve the equation \( \frac{6}{7}y - 13 = -7 \), follow these steps:

1. **Isolate the term involving \( y \)**:
   \[
   \frac{6}{7}y - 13 = -7
   \]
   Add 13 to both sides:
   \[
   \frac{6}{7}y = -7 + 13
   \]
   Simplify the right-hand side:
   \[
   \frac{6}{7}y = 6
   \]

2. **Solve for \( y \)**:
   Multiply both sides by the reciprocal of \( \frac{6}{7} \) (which is \( \frac{7}{6} \)):
   \[
   y = 6 \times \frac{7}{6}
   \]
   Simplify:
   \[
   y = 7
   \]

The solution is \( y = 7 \).

Would you like a detailed explanation of any step?

Here are 5 related questions:

1. How do you solve linear equations with fractions?
2. What happens if the equation has more terms on both sides?
3. How do you verify the solution of a linear equation?
4. What is the general process to isolate a variable in an equation?
5. How would the solution change if the equation was \( \frac{6}{7}y - 13 = 7 \)?

**Tip:** When solving equations, always perform the same operation on both sides to maintain equality.

Learn how to solve the linear equation 6/7y - 13 = -7 step-by-step. This problem involves isolating a variable with fractions and is suitable for students in Grades 7-9.

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