Answer
$V_d = 7V$
$V_g = 19V$
$V_e = 24V$
$V_c = -27V$
Work Step by Step
We use Kirchhoff's Voltage Law:
$-3 -V_d + 10 = 0 \\ -V_d = -7 \\ V_d =\fbox{ 7V}$
We use Kirchhoff's Voltage Law and the result from $V_d$:
$ -V_g +12 + 7 = 0 \\ -V_g = -19 \\ V_g = \fbox{19V}$
We use Kirchhoff's Voltage Law and the result from $V_g$:
$ -V_e +19 + 5 = 0 \\ -V_e = -24 \\ V_e = \fbox{24V}$
We use Kirchhoff's Voltage Law and the result from $V_e$:
$ V_c +24 + 3= 0 \\ V_c = \fbox{-27V}$