ok so solve for y in each
3y-6>12
add 6
3y>18
divide 3
y>6
other
2y+6<8
minus 6
2y<2
divide 2
y<1
we have
y>6 or y<1
'or' means it can be either of them
so y is any number less than 1 or greater than 6
basically, it is all real numbers except for 1≤y≤6, or the numbers from 1 to 6 including 1 and 6