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Solve −2(y+4)−2y>8−2(𝑦+4)−2𝑦>8.

Question

Solve −2(y+4)−2y>8−2(𝑦+4)−2𝑦>8.

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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.

This problem has been solved

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