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Which value of y will make the equation true?

−5y+3=−(3y−9)
−
5
𝑦
+
3
=
−
(
3
𝑦
−
9
)

(1 point)
Responses

−13
−
1
3
negative 1 third

−3
−
3
negative 3

3
3
3

All Real Numbers

1 answer

To solve the equation \(-5y + 3 = - (3y - 9)\), we first need to simplify the right side.

  1. Distribute the negative sign on the right: \[

    • (3y - 9) = -3y + 9 \] So the equation becomes: \[ -5y + 3 = -3y + 9 \]

  2. Next, we can add \(5y\) to both sides: \[ 3 = 2y + 9 \]

  3. Now, subtract \(9\) from both sides: \[ 3 - 9 = 2y \] \[ -6 = 2y \]

  4. Finally, divide both sides by \(2\): \[ y = -3 \]

The value of \(y\) that makes the equation true is \(-3\).

The correct response is: −3