can someone explain and answer this equation for me. 7y - 6 < 6y -1 Thanks

Answer 1

subtract 6y from each side
y-6<-1
add 6 to each side
y<5

Answer 2

7y - 6 < 6y -1
7y - 6y < -1 + 6
y < 5

notice I performed the same steps as I would for an ordinary equation.
The only exception is, ...
"When you multiply or divide both sides by a negative, the inequality sign has to be reversed"

e.g.

if you had
-3x > 12
then
x < -4 , ( I divided both sides by -3 )