Suspending　particles　of　tiny　solid　in　a　fluid　used　to　transport　energy　can　enhance　its　thermal　conductivity　and　heat　transport　properties.　Our　main　goal　of　this　examination　is　to　study　the　radiative　unsteady　two-dimensional　(2D)　flow　on　a　continuously　diminishing,　horizontal　sheet.　with　suction　for　the　hybrid　water-based　nanofluid　and　an　aligned　field　of　magnetic,　including　the　combined　suction,　magnetic,　and　velocity　slip　conditions　effect.　The　Tiwari　&　Das　model　of　nanofluid　equations　is　used,　which　takes　into　consideration　the　solid　volume　percentage.　Equations　of　similarity　are　derived　by　employing　the　transformations　of　similarity,　and　the　associated　equations　have　been　simplified　numerically　by　employing　the　bvp4c　method　in　MATLAB　software　for　a　variety　of　values　of　the　nanoparticle　volume　fraction,　the　unsteadiness,　and　the　wall　mass　suction　in　water.　It　is　discovered　that,　within　the　given　the　unsteadiness　parameter　range,　two　solutions　exist.　Moreover,　it　is　found　that　the　fluid　velocity　slows　down　in　1st　solution　as　volume　fraction　of　copper　nanoparticles　rises　but　speeds　up　in　the　second　solution　at　first　before　slowing　down　again.　Using　a　temporal　stability　analysis,　it　is　found　that　only　one　of　the　dual　branches　is　stable　over　the　long　run,　while　the　other　is　unstable.　©　2023　The　Authors