1. $$ 5 x-8=12 $$ 2. $$ 2(y+4)=14 $$ 3. $$ 3 a+7-a=9 $$ 4. $$ b / 4+3=8 $$ 5. $$ -3 c+5=-10 $$

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Sure, let's solve each of the given equations step-by-step.

---

### 1. $$ 5x - 8 = 12 $$

**Step 1:** Add 8 to both sides to isolate the term with $$ x $$.

$$
5x - 8 + 8 = 12 + 8 \
5x = 20
$$

**Step 2:** Divide both sides by 5 to solve for $$ x $$.

$$
x = \frac{20}{5} \
x = 4
$$

**Solution:** $$ x = 4 $$

---

### 2. $$ 2(y + 4) = 14 $$

**Step 1:** Divide both sides by 2 to simplify.

$$
\frac{2(y + 4)}{2} = \frac{14}{2} \
y + 4 = 7
$$

**Step 2:** Subtract 4 from both sides to solve for $$ y $$.

$$
y + 4 - 4 = 7 - 4 \
y = 3
$$

**Solution:** $$ y = 3 $$

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### 3. $$ 3a + 7 - a = 9 $$

**Step 1:** Combine like terms.

$$
(3a - a) + 7 = 9 \
2a + 7 = 9
$$

**Step 2:** Subtract 7 from both sides.

$$
2a = 9 - 7 \
2a = 2
$$

**Step 3:** Divide both sides by 2 to solve for $$ a $$.

$$
a = \frac{2}{2} \
a = 1
$$

**Solution:** $$ a = 1 $$

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### 4. $$ \frac{b}{4} + 3 = 8 $$

**Step 1:** Subtract 3 from both sides.

$$
\frac{b}{4} = 8 - 3 \
\frac{b}{4} = 5
$$

**Step 2:** Multiply both sides by 4 to solve for $$ b $$.

$$
b = 5 \times 4 \
b = 20
$$

**Solution:** $$ b = 20 $$

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### 5. $$ -3c + 5 = -10 $$

**Step 1:** Subtract 5 from both sides.

$$
-3c = -10 - 5 \
-3c = -15
$$

**Step 2:** Divide both sides by -3 to solve for $$ c $$.

$$
c = \frac{-15}{-3} \
c = 5
$$

**Solution:** $$ c = 5 $$

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### Summary of Solutions

1. $$ x = 4 $$
2. $$ y = 3 $$
3. $$ a = 1 $$
4. $$ b = 20 $$
5. $$ c = 5 $$

If you have any further questions or need additional explanations, feel free to ask!
Solutions: 1. $$ x = 4 $$ 2. $$ y = 3 $$ 3. $$ a = 1 $$ 4. $$ b = 20 $$ 5. $$ c = 5 $$

1. \( 5 x-8=12 \) 2. \( 2(y+4)=14 \) 3. \( 3 a+7-a=9 \) 4. \( b / 4+3=8 \) 5. \( -3 c+5=-10 \)

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