First, collect all the variables to one side; since the right side has only one term, which is the variable, get rid of the 3y from the left side by subtracting 3y from both sides:
3y + 6 - 3y < 2y - 3y
Simplify:
6 < -1y
Remove the -1 by dividing both sides by -1; however if you multiply or divide an inequality by a negative number you must change the direction of the inequality (you don't change the direction if you add or subtract a negative -- only if you multiply or divide):
6 / -1 > -1y / -1
-6 > y ---> y < -6
First, collect all the variables to one side; since the right side has only one term, which is the variable, get rid of the 3y from the left side by subtracting 3y from both sides:
3y + 6 - 3y < 2y - 3y
Simplify:
6 < -1y
Remove the -1 by dividing both sides by -1; however if you multiply or divide an inequality by a negative number you must change the direction of the inequality (you don't change the direction if you add or subtract a negative -- only if you multiply or divide):
6 / -1 > -1y / -1
-6 > y ---> y < -6