Question

What is the step-by-step process to solve for y in the equation 2y + 5 = 11?

Answer 1

To solve for \( y \) in the equation \( 2y + 5 = 11 \), follow these steps:

1. **Isolate the term with \( y \)**:
Subtract 5 from both sides of the equation to eliminate the constant term on the left side.
\[
2y + 5 - 5 = 11 - 5
\]
This simplifies to:
\[
2y = 6
\]

2. **Solve for \( y \)**:
Now, divide both sides by 2 to isolate \( y \).
\[
\frac{2y}{2} = \frac{6}{2}
\]
This simplifies to:
\[
y = 3
\]

3. **Conclusion**:
The solution is \( y = 3 \).

To verify, substitute \( y = 3 \) back into the original equation:
\[
2(3) + 5 = 6 + 5 = 11
\]
Since both sides are equal, the solution is confirmed. Therefore, the final answer is:
\[
y = 3
\]