1/2y-1/3(y-1)=5y

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Solution for 1/2y-1/3(y-1)=5y equation: 


y in (-oo:+oo)

(1/2)*y-((1/3)*(y-1)) = 5*y // - 5*y

(1/2)*y-((1/3)*(y-1))-(5*y) = 0

(-1/3)*(y-1)+(1/2)*y-5*y = 0

y/2-1/3*(y-1)-5*y = 0

(-1/3*2*(y-1))/2+y/2+(-5*2*y)/2 = 0

y-1/3*2*(y-1)-5*2*y = 0

1/3*y-10*y+2/3 = 0

2/3-29/3*y = 0

(2/3-29/3*y)/2 = 0

(2/3-29/3*y)/2 = 0 // * 2

2/3-29/3*y = 0

2/3-29/3*y = 0 // - 2/3

-29/3*y = -2/3 // : -29/3

y = -2/3/(-29/3)

y = 2/29

y = 2/29

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