What is the correct Node voltage equation for node #$1$

Use Source transtomation theorem

to reduce the following circuit, using $V_t=R_{+}{I}_n$

$V_{s_1}=$

$V_{52}=$

$R_1=$

$R_2=$

$i_1=$

$20v-i,(5)-i,(10)-10v=0$

$i,(15)=10r$

$i=\frac{10}{15}A$

$=0\mathrm{.}667A$