Which of these equations has infinitely many solutions?

A) 1/8 (8y - 1) = 2y - 1/4

B) 8x + 24 = - 4 (2x - 6)

C) - 3 (6x + 4) + 30x = 12 (x - 1)

D) 0.5 (4y + 16) = 2y - 8

C: - 3 (6x + 4) + 30x = 12 (x-1)

Step-by-step explanation:

A - 1/8 (8y - 1) = 2y - 1/4

(8y - 1) = 16y - 2

0 = 8y + 1

not infinite, it has one solution

B - 8x + 24 = - 4 (2x - 6) : divive by 4

2x + 6 = - 2x + 6:combine like terms

4x = 0; not inifite has solution

C - - 3 (6x + 4) + 30x = 12 (x - 1) : divide by 3

-6x - 4 + 10x = 4x - 4: combine like terms

4x - 4 = 4x - 4: same equation equalling same equation means it is infinite