Solve −2(y+4)−2y>8−2(𝑦+4)−2𝑦>8.
Question
Solve −2(y+4)−2y>8−2(𝑦+4)−2𝑦>8.
Solution
The given inequality seems to be repeated twice, so I'll just solve it once.
The inequality is: −2(y+4)−2y > 8
Step 1: Distribute the -2 in the first term on the left side of the inequality:
-2y - 8 - 2y > 8
Step 2: Combine like terms on the left side of the inequality:
-4y - 8 > 8
Step 3: Add 8 to both sides of the inequality to isolate the term with y on one side:
-4y > 16
Step 4: Divide both sides of the inequality by -4 to solve for y. Remember that when you divide or multiply both sides of an inequality by a negative number, the direction of the inequality sign changes:
y < -4
So, the solution to the inequality is y < -4.
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