Let's solve the equation:

$5b + 10 = 42 - 3b$

Step 1: Move all terms involving $b$ to one side and constants to the other side.

Add $3b$ to both sides:

$5b + 3b + 10 = 42$

Simplifying:

$8b + 10 = 42$

Step 2: Move the constant to the other side.

Subtract 10 from both sides:

$8b = 42 - 10$

Simplifying:

$8b = 32$

Step 3: Solve for $b$.

Divide both sides by 8:

$b = \frac{32}{8}$

$b = 4$

So, the solution is $b = 4$.

Would you like further details or have any questions about the solution?

Here are 5 related questions to explore:

1. How would you solve a similar equation with different coefficients, such as $3b + 5 = 10 - 2b$?
2. What happens if we multiply both sides of an equation by a negative number?
3. How can we check the solution to this equation?
4. What does it mean when an equation has no solution, and how can you identify that?
5. How would you solve a system of equations involving variables like $b$ and $c$?

Tip: Always combine like terms early to simplify the equation and make solving easier.