To factor the expression \(5y(2x+7) + 4(2x+7)\), we can notice that both terms share a common factor of \((2x + 7)\).
We can factor out \((2x + 7)\):
\[ 5y(2x + 7) + 4(2x + 7) = (2x + 7)(5y + 4) \]
Thus, the factored form of the expression is:
\[ (2x + 7)(5y + 4) \]