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1/3(9-2y)=5(2-3y)-50
We simplify the equation to the form, which is simple to understand
1/3(9-2y)=5(2-3y)-50
Simplifying:
+ 0.333333333333*(9-2y)=5*(2-3y)-50
Reorder the terms in parentheses
+(+3-0.666666666667y)=5*(2-3y)-50
Remove unnecessary parentheses
+3-0.666666666667y=+5+*(+2-3y+)-50
Reorder the terms in parentheses
+3-0.666666666667y=+(+10-15y)-50
Remove unnecessary parentheses
+3-0.666666666667y=+10-15y-50
We move all terms containing y to the left and all other terms to the right.
-0.666666666667y+15y=+10-50-3
We simplify left and right side of the equation.
+14.3333333333y=-43
We divide both sides of the equation by 14.3333333333 to get y.
y=-3
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