SOLUTION: Solve proportional equation x= 7y + 2 _______ y-3 Solve for y

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Question 248476: Solve proportional equation
x= 7y + 2
_______
y-3
Solve for y

Answer by dabanfield(803) About Me  (Show Source):
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Solve proportional equation
x= 7y + 2
_______
y-3
Solve for y
x = (7y+2)/(y-3)
Multiply both sides by y-3:
x*(y-3) = 7y+2
Expand:
xy-3x = 7y+2
Subtract 7y from both sides and add 3x to both sides:
xy-7y = 3x+2
Factor out y from both terms on the left:
y(x-7) = 3x+2
Divide both sides by x-7
y = (3x+2)/(x-7)