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Let's go through each equation and solve them step by step.

### 2. \(\frac{t}{5} + 2 = 8\)

1. Subtract 2 from both sides:
   \[
   \frac{t}{5} = 6
   \]
2. Multiply both sides by 5:
   \[
   t = 30
   \]
   
**Solution for 2**: \( t = 30 \)

---

### 3. \(\frac{5t}{4} + 3 = 18\)

1. Subtract 3 from both sides:
   \[
   \frac{5t}{4} = 15
   \]
2. Multiply both sides by 4:
   \[
   5t = 60
   \]
3. Divide by 5:
   \[
   t = 12
   \]

**Solution for 3**: \( t = 12 \)

---

### 4. \(\frac{t}{5} + 3 = 1\)

1. Subtract 3 from both sides:
   \[
   \frac{t}{5} = -2
   \]
2. Multiply both sides by 5:
   \[
   t = -10
   \]

**Solution for 4**: \( t = -10 \)

---

### 5. \(\frac{x + 10}{2} = 3\)

1. Multiply both sides by 2:
   \[
   x + 10 = 6
   \]
2. Subtract 10 from both sides:
   \[
   x = -4
   \]

**Solution for 5**: \( x = -4 \)

---

### 6. \(\frac{6y + 3}{9} = 1\)

1. Multiply both sides by 9:
   \[
   6y + 3 = 9
   \]
2. Subtract 3 from both sides:
   \[
   6y = 6
   \]
3. Divide by 6:
   \[
   y = 1
   \]

**Solution for 6**: \( y = 1 \)

---

Would you like further clarification on any step or more details on these equations?

Here are five related questions to explore further:
1. What is the process for solving equations involving fractions?
2. How do you solve an equation with variables on both sides?
3. How can you verify your solution after solving an equation?
4. How does multiplying both sides of an equation help in solving it?
5. What changes when dealing with negative numbers in equations?

**Tip**: Always check your final answer by plugging it back into the original equation to ensure it satisfies the equation.

Solve each equation: 
2. t/5 + 2 = 8
3. 5t/4 + 3 = 18
4. t/5 + 3 = 1
5. (x + 10)/2 = 3
6. (6y + 3)/9 = 1

This page explains how to solve linear equations involving fractions and variables, including equations like t/5 + 2 = 8 and (6y + 3)/9 = 1. Learn step-by-step methods to simplify and solve these problems, suitable for students in Grades 6-8.

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