5x*2y+3x*6y+2x*7y

To simplify the expression \( 5x \cdot 2y + 3x \cdot 6y + 2x \cdot 7y \), let's first perform the multiplication in each term:

1. \( 5x \cdot 2y = 10xy \)
2. \( 3x \cdot 6y = 18xy \)
3. \( 2x \cdot 7y = 14xy \)

Now we combine these terms:

\[ 10xy + 18xy + 14xy \]

Now, add the coefficients of \( xy \):

\[ (10 + 18 + 14)xy = 42xy \]

Thus, the simplified expression is:

\[ \boxed{42xy} \]