Question

select the correct answer.
which equation is correctly rewritten to solve for y?
12y + d = -19y + t
a. y = (t - d)/31
b. y = (t + d)/(-7)
c. y = 31(t - d)
d. y = -7(t + d)

Explanation:

Step1: Move all y terms to left

To solve for \( y \), we first move the \( -19y \) to the left side and \( d \) to the right side. Using the addition property of equality, add \( 19y \) to both sides and subtract \( d \) from both sides:

$$ 12y + 19y + d - d = -19y + 19y + t - d $$

Simplifying, we get:

$$ 31y = t - d $$

Step2: Solve for y

Now, divide both sides by 31 to isolate \( y \):

$$ y=\frac{t - d}{31} $$

Answer:

A. \( y = \frac{t - d}{31} \)