Question

solve the equation $-2y + 1 = -9$. what is the value of $y$? $y = \square$ use inverse operations. step 1: isolate $-2y$. step 2: isolate $y$.

Explanation:

Step1: Subtract 1 from both sides

To isolate \(-2y\), we perform the inverse operation of adding 1. So we subtract 1 from both sides of the equation \(-2y + 1=-9\).
\[
-2y+1 - 1=-9 - 1
\]
Simplifying both sides, we get \(-2y=-10\).

Step2: Divide both sides by -2

To isolate \(y\), we perform the inverse operation of multiplying by \(-2\). So we divide both sides of the equation \(-2y = - 10\) by \(-2\).
\[
\frac{-2y}{-2}=\frac{-10}{-2}
\]
Simplifying both sides, we get \(y = 5\).

Answer:

\(y = 5\)