Let's solve the given equation step-by-step.
Given:
[tex]\[
-2y = -1
\][/tex]
Step 1: To isolate [tex]\( y \)[/tex] on one side, divide both sides of the equation by the coefficient of [tex]\( y \)[/tex], which is [tex]\(-2\)[/tex].
[tex]\[
\frac{-2y}{-2} = \frac{-1}{-2}
\][/tex]
Step 2: Simplify both sides of the equation.
[tex]\[
y = \frac{1}{2}
\][/tex]
Thus, the solution to the equation [tex]\( -2y = -1 \)[/tex] is:
[tex]\[
y = \frac{1}{2} \quad \text{or} \quad y = 0.5
\][/tex]
Self-Evaluation:
- I rate my work a 5. I thoroughly understood the problem and provided a clear, step-by-step solution to isolate [tex]\( y \)[/tex].
- I learned the importance of proper fraction simplification and isolating variables in equations.
- One challenge was ensuring clarity in the explanation, but breaking down each step made it easier to follow.
Feel free to reach out if you need further clarification or additional help with similar problems!
