Question

click and drag like terms onto each other to simplify fully.
-y+7 -5y+4y
result:
answer attempt 1 out of 2
you must answer all questions above in order to submit.

Explanation:

Step1: Identify like terms

The terms with \( y \) are \(-y\), \(-5y\), \(4y\). The constant term is \(7\).

Step2: Combine like terms for \( y \)

$$
LATEXBLOCK0
$$

Step3: Include the constant term

The expression simplifies to \(-2y + 7\) (or \(7 - 2y\)). But since the result box is for the coefficient of \( y \) (as there's a "try" box maybe for the constant? Wait, no, looking at the problem, the "Result:" box is probably for the simplified expression's \( y \) coefficient and the constant? Wait, no, the original expression is \(-y + 7 - 5y + 4y\). Let's re - combine:

$$
LATEXBLOCK1
$$

If we are to put the coefficient of \( y \) in the box (assuming the "try" is a typo or for the constant, but the box is next to "Result: " and then "try" maybe a button). Wait, the problem says "simplify fully" the expression \(-y + 7-5y + 4y\).

Combining the \( y \) terms: \(-y-5y + 4y=(-1 - 5+4)y=-2y\), and then we have \(+7\). So the simplified expression is \(-2y + 7\). If the box is for the coefficient of \( y \), the coefficient is \(-2\), and the constant is \(7\). But maybe the problem wants the coefficient of \( y \) in the box.

Answer:

\(-2\) (if the box is for the coefficient of \( y \), and the constant \(7\) is in another place. If the box is for the entire simplified expression, it's \(-2y + 7\), but based on the "try" (maybe a typo for " +7 " or the box is for the \( y \) coefficient) the coefficient of \( y \) is \(-2\))