(2-y)/(5-y)=4/6

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Solution for (2-y)/(5-y)=4/6 equation:



(2-y)/(5-y)=4/6
We move all terms to the left:
(2-y)/(5-y)-(4/6)=0
Domain of the equation: (5-y)!=0
We move all terms containing y to the left, all other terms to the right
-y!=-5
y!=-5/-1
y!=+5
y∈R
We add all the numbers together, and all the variables
(-1y+2)/(-1y+5)-(+4/6)=0
We get rid of parentheses
(-1y+2)/(-1y+5)-4/6=0
We calculate fractions
(-6y+12)/(-6y+30)+(4y-20)/(-6y+30)=0
We multiply all the terms by the denominator
(-6y+12)+(4y-20)=0
We get rid of parentheses
-6y+4y+12-20=0
We add all the numbers together, and all the variables
-2y-8=0
We move all terms containing y to the left, all other terms to the right
-2y=8
y=8/-2
y=-4

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