Question

solve the inequality $\frac{y}{-2}-4>3$.
how can you isolate the term $\frac{y}{-2}$?
$\frac{y}{-2}-4>3$
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add
subtract
multiply by
divide by
? on both sides.

Explanation:

Step1: Isolate $\frac{y}{-2}$

To get $\frac{y}{-2}$ alone, we need to eliminate the $-4$ on the left side. We do this by adding 4 to both sides of the inequality.
$\frac{y}{-2} - 4 + 4 > 3 + 4$

Step2: Simplify both sides

Calculate the sums on each side of the inequality.
$\frac{y}{-2} > 7$

Step3: Solve for $y$

Multiply both sides by $-2$, and reverse the inequality sign because we are multiplying by a negative number.
$y < 7 \times (-2)$

Step4: Final calculation

Compute the product on the right side.
$y < -14$

Answer:

To isolate $\frac{y}{-2}$: Add 4 on both sides.
The solution to the inequality is $y < -14$