Simplify this algebraic expression completely

5y-3(y+2)

1 answer

To simplify the expression \( 5y - 3(y + 2) \), we follow these steps:

  1. Distribute the \(-3\) across the terms inside the parentheses: \[ 5y - 3(y + 2) = 5y - 3y - 6 \]

  2. Combine like terms: \[ 5y - 3y = 2y \]

    So, the expression simplifies to: \[ 2y - 6 \]

Therefore, the simplified expression is: \[ \boxed{2y - 6} \]