Question

Which expressions are equivalent to -2y - 8+ 4y?

Choose all answers that apply:
A -2(y + 4) + 4y
B 4(−2+ y) – 2y
None of the above
C
Stm

Answer 1

Both options A and B are equivalent to the expression -2y - 8 + 4y because when simplified, they both result in the expression 2y - 8.

Step-by-step explanation:

The expressions that are equivalent to -2y - 8 + 4y can be determined by simplifying the original expression and comparing it with the given options. Simplifying the original expression, we combine like terms:

• -2y + 4y = 2y
• -8 remains the same since there are no like terms to combine with it

So, the simplified expression is 2y - 8.

Now let's compare the options:

• A: -2(y + 4) + 4y simplifies to -2y - 8 + 4y which then further simplifies to 2y - 8, which is equivalent to the original expression.
• B: 4(‑2 + y) - 2y simplifies to -8 + 4y - 2y which then further simplifies to 2y - 8, which is also equivalent to the original expression.

Both options A and B are equivalent to the original expression -2y - 8 + 4y.