Question

-10y + 43 = -y + 70

Explanation:

Step1: Add \(10y\) to both sides

To get all the \(y\)-terms on one side, we add \(10y\) to both sides of the equation \(-10y + 43 = -y + 70\). This gives us \(43 = 9y + 70\).

Step2: Subtract 70 from both sides

To isolate the term with \(y\), we subtract 70 from both sides. This results in \(-27 = 9y\).

Step3: Divide both sides by 9

To solve for \(y\), we divide both sides of the equation \(-27 = 9y\) by 9. So, \(y=\frac{-27}{9}=-3\).

Answer:

\(y = -3\)