To factor the expression \( 5y(2x+7) + 4(2x+7) \), we can look for a common factor in both terms.
Both terms have a common factor of \( (2x + 7) \). Thus, we can factor it out:
\[ 5y(2x + 7) + 4(2x + 7) = (2x + 7)(5y + 4) \]
So, the fully factored form of the expression is:
\[ (2x + 7)(5y + 4) \]