QuestionChoose expressions equivalent to $(-3y - 2) - (-4y + 6)$ . Options: $-2 + 4y - 6 - 3y$ , $-8y + 1$ , $-7y$ , $y - 8$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $(-3 y-)-(-4 y+6)$ . We are asked to find the expressions equivalent to the given expression

STEP 2

First, we need to simplify the given expression. To do this, we distribute the negative sign to the terms in the second parentheses.
$(- y-2)-(-4 y+6) = - y -2 +4 y -6$

STEP 3

Next, we combine like terms in the expression.
$-3 y -2 + y -6 = y -8$

STEP 4

Now, we compare this simplified expression with the given options.
1. $-2+4 y-6+-3 y$ This expression is equivalent to the given expression after rearranging the terms.
2. $-8 y+1$ This expression is not equivalent to the given expression.
3. $-7 y$ This expression is not equivalent to the given expression.
4. $y-8$ This expression is equivalent to the given expression.
So, the expressions equivalent to $(-3 y-2)-(-4 y+6)$ are $-2+4 y-6+-3 y$ and $y-8$ .

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