Answer: The required simplified form of the given expression is \(5y^2-4y-14.\)
Step-by-step explanation: We are given to simplify the following expression :
\(E=2(3y-7)-5y(2-y).\)
To simplify the given expression, we need to evaluate the bracket first.
The simplification is as follows :
\(E\\\\=2(3y-7)-5y(2-y)\\\\=6y-14-10y+5y^2\\\\=5y^2-4y-14.\)
Thus, the required simplified form of the given expression is \(5y^2-4y-14.\)