Answer: y ≤ -2.2
Step-by-step explanation:
Given expression
-2 (7 + y) ≥ 8 (y + 1)
Expand parentheses and apply the distributive property
-14 - 2y ≥ 8y + 8
Subtract 8y on both sides
-14 - 2y - 8y ≥ 8y + 8 - 8y
-14 - 10y ≥ 8
Add 14 on both sides
-14 - 10y + 14 ≥ 8 + 14
-10y ≥ 22
Divide -10 on both sides
(REMEMBER to change the [≤, ≥] signs when multiplying/subtracting a negative number)
-10y / -10 ≥ 22 / -10
[tex]\boxed{y\leq -2.2}[/tex]
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