To solve this equation, we first need to distribute and simplify on both sides:

3(2x - y) - 14(5x - 3y) = 76x - 6y + 3

6x - 3y - 70x + 42y = 76x - 6y + 3

Combine like terms:

-64x + 39y = 76x - 6y + 3

Move all terms to one side:

-64x - 76x - 39y + 6y - 3 = 0

-140x - 33y - 3 = 0

Divide the entire equation by -1 to simplify:

140x + 33y + 3 = 0

So, the simplified equation is 140x + 33y + 3 = 0.