Multiply each item by 10 to give whole numbers then move items to give ay2+by+c=0
3.5y2+2.6y-8.2=4y2-6.9y multiply by 10
35y2 + 26y - 82 = 40y2 -69y
subtract 35y2 from both sides
26y - 82=5y2 -69y
subtract 26y from both sides
-82 = 5y2 - 95y
add 82 to each side
0 = 5y2 - 95y +82
or
5y2 - 95y +82 = 0