Is there a way I can move the "Group Y" in Graph builder so it is on the left side of my graph, rather than the right side (default location)?
You can do what you want by splitting the data table by your Group Y and then plotting the split Y columns as separate columns on the Y axis, and the split X columns as combined columns on the X axis.

names default to here(1);
// Open Data Table: Big Class.jmp
// → Data Table( "Big Class" )
Open( "/C:/Program Files/SAS/JMPPRO/12/Samples/Data/Big Class.jmp" );
// Split data table
// → Data Table( "Untitled 13" )
Data Table( "Big Class" ) << Split(
Split By( :sex ),
Split( :height, :weight ),
Group( :name, :sex ),
Remaining Columns( Drop All ),
Sort by Column Property,
Output Table( "Split Table" )
);
Data Table( "Split Table" ) << Graph Builder(
Size( 525, 454 ),
Show Control Panel( 0 ),
Variables(
X( :weight F ),
X( :weight M, Position( 1 ) ),
Y( :height F ),
Y( :height M )
),
Elements(
Position( 1, 1 ),
Points( X( 1 ), X( 2 ), Y, Legend( 25 ) ),
Smoother( X( 1 ), X( 2 ), Y, Legend( 26 ) )
),
Elements(
Position( 1, 2 ),
Points( X( 1 ), X( 2 ), Y, Legend( 27 ) ),
Smoother( X( 1 ), X( 2 ), Y, Legend( 28 ) )
)
)
Right click on grouping and from Y Group Edge you can change grouping side

