  We provide some results of the smoothing of surface singularities by
Looijenga-Wahl and study smoothing of isolated surface singularities induced by
equivariant smoothing of locally complete intersection ($\lci$) singularities.
We classify the situation where the smoothing of a simple elliptic singularity,
a cusp singularity or its cyclic quotient is induced by the equivariant
smoothing of the $\lci$ covers.
