Properties of Arithmetic: Distributive Property - Multiple Terms

Terms that involve the $\green{y}$ terms and a constant term constitute to the final coefficient

$(4x {\green{-y} {\orange{+4}}} )(x {\orange{+2y} {\green{-3}}} ) \quad \implies \quad ({\green{-y\cdot -3}} + {\orange{4 \cdot 2y}}) = 11y \implies \boxed{11}$

The $y$ term in the expansion of the given expression is $(-y) \times (-3)+4 \times 2y=3y+8y=11y.$ Hence, the coefficient of $y$ in the expansion of the given expression is $11.$