SOLUTION: Can you please help me solve this equation: a-3y/b+4=a+y,for y.

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Question 640847: Can you please help me solve this equation: a-3y/b+4=a+y,for y.
Found 2 solutions by MathLover1, benni1013:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
in case you have this:
+a-3y%2Fb%2B4=a%2By...to solve for y, move all terms containing y to the one side and all other terms to the other side of equation sign

+a%2B4-a=y%2B3y%2Fb

+4=%28yb%2B3y%29%2Fb

+4b=%28yb%2B3y%29

+4b=y%28b%2B3%29

+4b%2F%28b%2B3%29=y
or
+y=4b%2F%28b%2B3%29

Answer by benni1013(206) About Me  (Show Source):
You can put this solution on YOUR website!
Stated:
(a-3y)/(b+4)=a+y
Subtract y to get a by itself on one side:
((a-3y)/(b+4))-y=a
Multiply each side by b+4 to eliminate the denominator on the left side:
a-3y-y=a(b+4)
Simplify like terms:
a-4y=a(b+4)
Subtract a from both sides:
-4y=a(b+4)-a
Use distributive property:
-4y=ab+4a-a
Simplify like terms
-4y=ab+3a
Divide both sides by -4
y=-1/4ab-3/4a