Answer :

We start with the inequality

$$
2s - 6 < 4s + 8.
$$

**Step 1:** Subtract $2s$ from both sides to move the variable terms to one side:

$$
2s - 6 - 2s < 4s + 8 - 2s,
$$

which simplifies to

$$
-6 < 2s + 8.
$$

**Step 2:** Subtract $8$ from both sides to isolate the term with $s$:

$$
-6 - 8 < 2s + 8 - 8,
$$

yielding

$$
-14 < 2s.
$$

**Step 3:** Divide both sides by $2$ (since $2 > 0$, the direction of the inequality remains unchanged):

$$
\frac{-14}{2} < s,
$$

which simplifies to

$$
-7 < s.
$$

This inequality can be written as

$$
s > -7.
$$

Thus, the solution to the inequality is

$$
\boxed{s > -7}.
$$

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