1/4(8y+4)-18<-1/2(4y-6)

Solve

1/4(8y+4)-18<-1/2(4y-6)

times 4, ( so < sign stays the same )

8y + 4 - 72 < -8y + 12
add 8y+68 to both sides, (no change in the < )
16y < 80
divide by 16, (no change in < )

y < 5