let $r$ be a ring generated by $l$ elements with stable range $r$. assume that the group $el_d(r)$ has kazhdan constant $\epsilon_0>0$ for some $d \geq r+1$. we prove that there exist $\epsilon(\epsilon_0,l) >0$ and $k \in \mathbb{n}$, s.t. for every $n \geq d$, $el_n(r)$ has a generating set of order $k$ and a kazhdan constant larger than $\epsilon$. as a consequence, we obtain for $sl_n(\mathbb{z})$ where $n \geq 3$, a kazhdan constant which is independent of $n$ w.r.t generating set of a fixed size.