To solve the equation \( 7 = \frac{y}{5} - 11 \), follow these steps:

1. **Add 11 to both sides** to isolate the term with \( y \) on one side:

   \[
   7 + 11 = \frac{y}{5} - 11 + 11
   \]
   \[
   18 = \frac{y}{5}
   \]

2. **Multiply both sides by 5** to solve for \( y \):

   \[
   18 \times 5 = \frac{y}{5} \times 5
   \]
   \[
   y = 90
   \]

So, the solution is \( y = 90 \).

Would you like more details, or do you have any questions about this solution?

Here are some related questions:

1. How do you solve equations with fractions on both sides?
2. What are some techniques to check if your solution is correct?
3. How would you solve the equation if it had a variable in the denominator?
4. What steps would you take if there were multiple fractions in the equation?
5. How can you solve a system of equations that includes a fraction?

**Tip:** Always check your solution by substituting it back into the original equation to ensure it satisfies the equation.

Learn how to solve the equation 7 = (y / 5) - 11 with a detailed step-by-step solution. This problem covers algebraic concepts, including equations and fractions manipulation. Suitable for students in Grades 7-9.

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