The operators of b → sγ, b → sl+l− are usually regarded as being sufficient to describe b → sγγ, b → sl+l−γ with the statement that contributions from diagrams without an effective vertex b → sγ to processes b → sγγ and b → sl+l−γ are negligible. In this work we present a comprehensive analysis of the transition b → sγγ and find that 1) Effects due to off-shell quarks in vertex b → sγ on b → sγγ are large; 2) Contributions from diagrams without an effective vertex b → sγ to b → sγγ are not negligible compared with others; 3) These effects cancel each other out exactly, so the operators of b → sγ can safely be used to describe b → sγγ.