To simplify the expression \( 14y + 2y(6 - y) \), follow these steps:
Distribute the \( 2y \) in the second term: \[ 2y(6 - y) = 2y \cdot 6 - 2y \cdot y = 12y - 2y^2 \]
Now substitute this back into the original expression: \[ 14y + (12y - 2y^2) \]
Combine like terms: \[ 14y + 12y = 26y \]
The expression now becomes: \[ 26y - 2y^2 \]
So, the simplified form of the expression \( 14y + 2y(6 - y) \) is: \[ -2y^2 + 26y \]
