# Coefficient on a dummy variable

Suppose I have the following regression: \begin{align*} y=\beta_0+\beta_1A+\beta_2B+\beta_3C+\beta_4(A*B)+e; \end{align*} where $$A$$ and $$B$$ are dummy variables, $$C$$ is a continuos variable and $$A*B$$ is a interaction. Suppose, too, I have this other regression: \begin{align*} y=\delta_0+\delta_1A+\epsilon; \end{align*} What is the relation between the coefficientes $$(\delta_0,\delta_1)$$ and the coefficientes $$(\beta_0,\beta_1,\beta_2,\beta_3,\beta_4)$$?.