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

To simplify the expression \( 5x \cdot 2y + 3x \cdot 6y + 2x \cdot 7y \), we start by calculating each term separately:

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

Now, add the three results together:

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

Combine the coefficients:

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

So, the simplified expression is:

\[ \boxed{42xy} \]