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Part 1
Solve using the addition principle.​ Don't forget to check.
yminus4.02equals84.2

Let's solve the equation using the addition principle. The given equation is:

\[
y - 4.02 = 84.2
\]

### Step 1: Add 4.02 to both sides of the equation.
To isolate \( y \), we need to eliminate the \( -4.02 \) on the left side by adding \( 4.02 \) to both sides.

\[
y - 4.02 + 4.02 = 84.2 + 4.02
\]

### Step 2: Simplify both sides.
\[
y = 88.22
\]

### Step 3: Check the solution.
Substitute \( y = 88.22 \) back into the original equation to verify:

\[
88.22 - 4.02 = 84.2
\]

Simplifying the left side:

\[
84.2 = 84.2
\]

Since both sides are equal, the solution is correct.

### Final Answer:
\[
y = 88.22
\]

Would you like more details or have any questions?

### Relative Questions:
1. How would you solve the equation if it involved subtraction on both sides?
2. What happens if the equation involved multiplying or dividing by a constant instead of adding?
3. How do you handle equations where the variable appears on both sides?
4. Can you solve an equation involving decimals and fractions simultaneously?
5. How would you verify solutions for equations involving negative numbers?

### Tip:
Always double-check your solution by substituting it back into the original equation.

Learn how to solve the equation using the addition principle: y - 4.02 = 84.2. Detailed step-by-step solution provided, including checking the solution for accuracy. Suitable for students in Grades 7-9.

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