Questions: 5(y-2)=3y-22 y=

Solution Steps

To solve the equation \(5(y-2) = 3y - 22\), we need to first expand the left side of the equation, then collect all terms involving \(y\) on one side and constant terms on the other. Finally, solve for \(y\) by isolating it.

Start with the given equation: \[ 5(y-2) = 3y - 22 \]

Expand the left side: \[ 5y - 10 = 3y - 22 \]

Move all terms involving \( y \) to one side and constant terms to the other side: \[ 5y - 3y = -22 + 10 \]

Simplify: \[ 2y = -12 \]

Divide both sides by 2 to isolate \( y \): \[ y = \frac{-12}{2} \]

Simplify: \[ y = -6 \]

Final Answer