Substitute $3x -2$  for $y$ in the second equation.

$4x + 2(3x - 2) = 6$
$4x + 6x - 4 = 6$

Solve for $x$.

$x = 1$

Substitute $1$ for $x$.

$y = 3(1) - 2$

Solve for $y$.

$y = 1$

($1, 1$)

Substitute $x = y − 4$ in the second equation.