Let's solve the equation for \( y \):

\[
10y - 3x + 6 = 11
\]

### Step 1: Subtract 6 from both sides
\[
10y - 3x = 11 - 6
\]
\[
10y - 3x = 5
\]

### Step 2: Solve for \( y \)
Now, isolate \( y \) by adding \( 3x \) to both sides:
\[
10y = 3x + 5
\]

### Step 3: Divide both sides by 10
\[
y = \frac{3x + 5}{10}
\]

This is the solution in terms of \( y \).

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Here are 5 related questions:
1. What would the value of \( y \) be if \( x = 2 \)?
2. Can you solve for \( x \) in terms of \( y \)?
3. What happens when you substitute specific values for both \( x \) and \( y \)?
4. How do you graph \( y = \frac{3x + 5}{10} \)?
5. How does the slope of the equation relate to the values of \( x \) and \( y \)?

**Tip:** When solving linear equations, isolating variables one step at a time helps avoid mistakes.

Learn how to solve the linear equation 10y - 3x + 6 = 11 for y with a detailed step-by-step explanation. This problem covers key algebraic concepts, including solving for a variable and manipulating linear equations. Suitable for students in Grades 8-10.

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