Which expressions are equivalent to
\[-2y-8+4y\] ?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
\[-2(y+4)+4y\]
A
\[-2(y+4)+4y\]
(Choice B)
\[4(-2+y)-2y\]
B
\[4(-2+y)-2y\]
(Choice C) None of the above
C
None of the above
To simplify the expression \[-2y-8+4y\], we can combine like terms.
First, we combine \(-2y\) and \(4y\) to get \(2y\). Then we add \( -8\) to get \(2y-8\).
Therefore, the expression is equivalent to the expression \(\boxed{2y-8}\).
Since none of the given choices match \(-2y-8+4y\), the answer is (Choice C) None of the above.
To find expressions that are equivalent to \(-2y-8+4y\), we can simplify the given expression by combining like terms.
\(-2y-8+4y\) can be simplified as follows:
\((-2y+4y)-8\)
Combine the \(y\) terms:
\(2y-8\)
So, the simplified expression is \(2y-8\).
Let's now compare the simplified expression \(2y-8\) with the given choices:
(Choice A) \(-2(y+4)+4y\):
Distribute the \(-2\) to \(y+4\):
\(-2y-8+4y\)
Combine the \(y\) terms:
\(2y-8\)
Choice A simplifies to the same expression as the original given expression. It is equivalent.
(Choice B) \(4(-2+y)-2y\):
Distribute the \(4\) to \(-2+y\):
\(-8+4y-2y\)
Combine the \(y\) terms:
\(2y-8\)
Choice B also simplifies to the same expression as the original given expression. It is equivalent.
Since both Choice A and Choice B simplify to the original expression \(2y-8\), the correct answers are:
(Choice A) \(-2(y+4)+4y\)
(Choice B) \(4(-2+y)-2y\)
The expression \(-2y-8+4y\) can be simplified as follows:
Combine like terms:
\((-2y + 4y) - 8\)
Multiply the coefficients with the variables:
\(2y - 8\)
So, none of the given choices (A, B, or C) are equivalent to \(-2y-8+4y\).