To solve the equation \( 5 - 0.2y = 0.3y - 39 \), we can start by moving all terms involving \( y \) to one side and the constant terms to the other side. Here are the steps:
Combine like terms: Add \( 0.2y \) to both sides: \[ 5 = 0.3y + 0.2y - 39 \] This simplifies to: \[ 5 = 0.5y - 39 \]
Add 39 to both sides: \[ 5 + 39 = 0.5y \] This simplifies to: \[ 44 = 0.5y \]
Divide both sides by 0.5 to isolate \( y \): \[ y = \frac{44}{0.5} \] This simplifies to: \[ y = 88 \]
So the solution is \( y = 88 \).
