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(5Y+1)/6=(9Y+1)/8-(1-Y)/3

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(5Y+1)/6=(9Y+1)/8-(1-Y)/3
(5Y+1)/6=(9Y+1)/8-(1-Y)/3
(5y+1)÷6=(9y+1)÷8-(1-y)÷3
[(5y+1)÷6]×24=[(9y+1)÷8-(1-y)÷3]×24
4×(5y+1)=3×(9y+1)-8×(1-y)
20y+4=27y+3-8+8y
20y-27y-8y=3-8-4
-15y=-9
y=3/5