The paper is devoted to the deformation theory of isolated hypersurface singularities over the complexes or reals. A deformation of a germ \(f\) is versal if it contains all possible singularities close to \(f\), modulo an equivalence relation on singularities. The authors study versal deformations with respect to different equivalences. In particular, they consider deformations in the class of germs of a given multiplicity (equimultiple deformations) with respect to `blow-up equivalence'. Another point of view on versality arises from a method of Viro (modified by Shustin) which produces one-parametric deformations of Newton non-degenerate singular points. The authors extend nice properties of these Viro-type deformations to singularities which are `Newton non-degenerate along tangents', so that the family of these deformations has a certain versality property. They obtain that the space of algebraic hypersurfaces of a given degree induces all the equimultiple deformations which are stable with respect to removing monomials lying above the Newton diagrams.