Question

Solve the equation. Check your solution.
8yminus7equals23minus2y

Answer 1

To solve the equation \( 8y - 7 = 23 - 2y \), we can follow these steps:

1. **Add \( 2y \) to both sides:**
\[
8y + 2y - 7 = 23 - 2y + 2y
\]
This simplifies to:
\[
10y - 7 = 23
\]

2. **Add 7 to both sides:**
\[
10y - 7 + 7 = 23 + 7
\]
This simplifies to:
\[
10y = 30
\]

3. **Divide both sides by 10:**
\[
y = \frac{30}{10} = 3
\]

Now, we have the solution \( y = 3 \).

### Checking the Solution
Substituting \( y = 3 \) back into the original equation:

Left side:
\[
8(3) - 7 = 24 - 7 = 17
\]

Right side:
\[
23 - 2(3) = 23 - 6 = 17
\]

Both sides are equal, hence the solution \( y = 3 \) is correct.

Thus, the solution is:
\[
\boxed{3}
\]