Let's solve the equation step by step:

\[
-53 + 17 = 6y - 2y
\]

### Step 1: Simplify both sides.
On the right side, combine like terms:

\[
6y - 2y = 4y
\]

Now the equation becomes:

\[
-53 + 17 = 4y
\]

### Step 2: Combine constants on the left side.
\[
-53 + 17 = -36
\]

Now the equation is:

\[
-36 = 4y
\]

### Step 3: Solve for \( y \).
Divide both sides of the equation by 4:

\[
y = \frac{-36}{4}
\]

\[
y = -9
\]

So, the solution is:

\[
y = -9
\]

Would you like more details or have any questions?

Here are some related questions:
1. What if \( y \) were on both sides of the equation?
2. How does this equation change if one term involves a power of \( y \)?
3. What happens if we add a constant term to the right side?
4. How do we approach the equation if the coefficients were fractions?
5. What steps would change if variables other than \( y \) were involved?

**Tip:** Always combine like terms first when simplifying equations.

Learn how to solve the linear equation -53 + 17 = 6y - 2y step by step. This problem involves simplifying expressions, combining like terms, and isolating variables. Suitable for students in Grades 6-8.

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