  We show that the simultaneous (de)grafting of a complex projective structure
with quasi-Fuchsian holonomy along a multicurve can be performed by a simple
sequence of one bubbling and one debubbling. As a consequence we obtain that
any complex projective structure with quasi-Fuchsian holonomy
$\rho:\pi_1(S)\to$ PSL$_2\mathbb{C}$ can be joined to the corresponding
uniformizing structure $\sigma_\rho$ by a simple sequence of one bubbling and
one debubbling, with a stopover in the space of branched complex projective
structures.
