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0.09y+0.09(500-y)=0.50y
We move all terms to the left:
0.09y+0.09(500-y)-(0.50y)=0
We add all the numbers together, and all the variables
0.09y+0.09(-1y+500)-(+0.50y)=0
We multiply parentheses
0.09y-0.09y-(+0.50y)+45=0
We get rid of parentheses
0.09y-0.09y-0.50y+45=0
We add all the numbers together, and all the variables
-0.5y+45=0
We move all terms containing y to the left, all other terms to the right
-0.5y=-45
y=-45/-0.5
y=+90
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