Question

solving steps
-6y + 8 = y +9 - 7y - 1

Answer 1

To solve the equation \(-6y + 8 = y + 9 - 7y - 1\), follow these steps:

1. **Simplify the right side of the equation**:
\[
y + 9 - 7y - 1 = -6y + 8
\]
Combine like terms:
\[
y - 7y + 9 - 1 = -6y + 8
\]
Thus,
\[
-6y + 8 = -6y + 8
\]

2. **Rewrite the equation**:
The equation now looks like:
\[
-6y + 8 = -6y + 8
\]

3. **Recognize that both sides are equal**:
This means that the left side is equal to the right side, regardless of the value of \(y\). Therefore, this equation is an identity.

Since both sides of the equation are the same for any value of \(y\), the solution is:
\[
\text{All real numbers}
\] or \(y \in \mathbb{R}\).