6x=-10-4y-19x, so 4y=-10-25x and 6x=75+4y so 4y=6x-75.
Therefore -10-25x=6x-75, 65=31x, x=65/31, 4y=390/31-75=(390-2325)/31=-1935/31, y=-1935/124.
SOLUTION: x=65/31, y=-1935/124
Or did you mean: 6x=-10-4y, -19x=75+4y?
If so: 4y=-10-6x, 4y=-19x-75 so -10-6x=-19x-75, 13x=-65, x=-5, so -30=-10-4y, 4y=-10+30=20, y=5.
SOLUTION: x=-5, y=5.