Question

What would the next step be

-3(-3x+4y-10) +6y

9x-12y+30+6y

a
9x+6y+30

b
9x-6y+30

c
9x-6y-30

Answer 1

Let's simplify the expression step by step to determine which option (a, b, or c) is correct.

The expression we are starting with is:

\(-3(-3x + 4y - 10) + 6y\)

First, distribute the -3:

\[
-3 \cdot -3x + -3 \cdot 4y + -3 \cdot -10 = 9x - 12y + 30
\]

Now we add \(6y\):

\[
9x - 12y + 30 + 6y
\]

Combine like terms (\(-12y + 6y\)):

\[
9x + (-12y + 6y) + 30 = 9x - 6y + 30
\]

So the final simplified expression is:

\[
9x - 6y + 30
\]

Now let's compare that with the given options:

- a) \(9x + 6y + 30\)
- b) \(9x - 6y + 30\)
- c) \(9x - 6y - 30\)

The correct answer is **b) \(9x - 6y + 30\)**.