Solve for

*y* in the inequality -y + 2 + 10y - 9 - 6 ≥ - 3 + 4y + 40 - 8y

__Step 1: Group the y terms on the left hand side:__(-1 + 10)y = 9y

__Step 2: Group the constant terms on the left hand side:__2 - 9 - 6 = -13

__Step 3: Group the y terms on the right hand side:__(4 - 8)y = -4y

__Step 4: Group the constant terms on the right hand side:__-3 + 40 = 37

__Step 5: Form modified inequality__9y - 13 ≥ - 4y + 37

__Step 6: Group variables:__We need to group our variables 9y and -4y. To do that, we add 4y to both sides

9y - 13 + 4y ≥ -4y + 37 + 4y

__Step 7: Cancel -4y on the right side:__13y - 13 ≥ 37

__Step 8: Group constants:__We need to group our constants -13 and 37. To do that, we add 13 to both sides

13y - 13 + 13 ≥ 37 + 13

__Step 9: Cancel 13 on the left side:__13y ≥ 50

__Step 10: Divide each side of the inequality by 13__y ≥ 3.8

Click

this lesson to see the interval notation for y ≥ 3.8