To solve the equation \( 50 = 7y - 6 \), let's isolate \( y \) step-by-step:

### Step 1: Add 6 to both sides of the equation
\[
50 + 6 = 7y - 6 + 6
\]
\[
56 = 7y
\]

### Step 2: Divide both sides by 7
\[
\frac{56}{7} = \frac{7y}{7}
\]
\[
8 = y
\]

### Solution:
\[
y = 8
\]

Would you like more details or have any questions?

### Related Questions:
1. How would you solve \( 60 = 5y - 10 \)?
2. What happens if you have a fraction in the equation, like \( 50 = \frac{7y}{2} - 6 \)?
3. How do you solve equations with variables on both sides, like \( 7y - 6 = 2y + 8 \)?
4. What are the steps for solving \( 4x + 3 = 11x - 10 \)?
5. How can you check your solution to ensure it’s correct?

**Tip:** Always perform the same operation on both sides of an equation to keep it balanced.

Learn how to solve the linear equation 50 = 7y - 6 step-by-step. This problem involves key algebraic concepts such as isolating variables and basic equation-solving techniques. Perfect for students in Grades 6-8.

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