Question

Question content area top
Part 1
Solve and check.
StartFraction y Over 7 EndFraction
minus6equals2

Answer 1

To solve the equation \(\frac{y}{7} - 6 = 2\), we can follow these steps:

1. **Add 6 to both sides of the equation** to isolate the fraction:
\[
\frac{y}{7} - 6 + 6 = 2 + 6
\]
This simplifies to:
\[
\frac{y}{7} = 8
\]

2. **Multiply both sides by 7** to solve for \(y\):
\[
7 \cdot \frac{y}{7} = 8 \cdot 7
\]
This simplifies to:
\[
y = 56
\]

Now, let's check the solution by substituting \(y = 56\) back into the original equation:

\[
\frac{56}{7} - 6 = 2
\]
Calculating \(\frac{56}{7}\) gives \(8\):
\[
8 - 6 = 2
\]
This is true, as \(2 = 2\).

Therefore, the solution is:
\[
\boxed{56}
\]