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3y-1=6(y-2)-3(5-3y)
We simplify the equation to the form, which is simple to understand
3y-1=6(y-2)-3(5-3y)
Reorder the terms in parentheses
3y-1=+(+6y-12)-3*(5-3y)
Remove unnecessary parentheses
+3y-1=+6y-12-3+*(+5-3y+)
Reorder the terms in parentheses
3y-1=+6y-12+(-15+9y)
Remove unnecessary parentheses
+3y-1=+6y-12-15+9y
We move all terms containing y to the left and all other terms to the right.
+3y-6y-9y=-12-15+1
We simplify left and right side of the equation.
-12y=-26
We divide both sides of the equation by -12 to get y.
y=2.16666666667
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