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Answer

↓Steps Explained:↓

Solve for y

-y + 2 + 10y - 9 - 6 ≥ - 3 + 4y + 40 - 8y

Group the y terms on the left:

(-1 + 10)y = 9y

Group the constants on the left

2 - 9 - 6 = -13

Group the y terms on the right:

(4 - 8)y = -4y

Group the constants on the right:

-3 + 40 = 37

Form modified inequality

9y - 13 ≥ - 4y + 37

Group variables

Group our variables 9y and -4y
add 4y to both sides

9y - 13 + 4y ≥ -4y + 37 + 4y

Cancel -4y on the right side:

13y - 13 ≥ 37

Group constants

Group our constants -13 and 37.
add 13 to both sides

13y - 13 + 13 ≥ 37 + 13

Cancel 13 on the left side:

13y ≥ 50

Divide each side of the inequality by 13

y ≥ 3.8461538461538

Final Answer