Question

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

Explanation:

Step1: Move all y terms to left and others to right

Add \(19y\) to both sides: \(12y + 19y + d = t\). Subtract \(d\) from both sides: \(12y + 19y = t - d\).

Step2: Combine like terms

\(12y + 19y = 31y\), so \(31y = t - d\).

Step3: Solve for y

Divide both sides by 31: \(y = \frac{t - d}{31}\).

Answer:

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