# Algebra

1/8 (5y + 64) = 1/4 (20 + 2y)

As you have a fraction on both sides, it might be easier first to multiply both sides by a common multiple. As you have 1/8 on the left, and 1/4 on the right, the lowest common multiple would be 8. So, mulitply both sides by 8. This would mean on the left, you now have; 8 x 1/8(5y+64) = 8 x 1/4(20+2y) The important thing is, what you do to one side, you must do to the other.
Mark B.
08 September 2012
Now, 8 x 1/8 = 1 and 8 x 1/4 = 2, so now, we have; 1(5y+64)=2(20+2y) Now, it's easier to open, or expand the brackets, so, by multiplying each term inside each bracket, by the figure outside the bracket, we get: 1x5y + 1x64 = 2x20 + 2x2y, which then becomes 5y+64=40+4y
Mark B.
08 September 2012
Let me know if you still have trouble or didn't understand anything.
Mark B.
08 September 2012
Lastly, collect like terms, I would move the "y"'s to the left, and the numbers on the right, so moving +4y from the right to the left, and moving the +64 to the right, would create: 5y - 4y = 40 - 64 Remember, when you move one value to the other it "reverses", so as I said moving +4y from the right to the left makes it change to -4y and the same for +64. Now work the bits out, so 5y - 4y becomes 1y and 40 - 64 becomes -24, so the equation now becomes; 1y = -24 and as there are no more numbers to move, we can simply state that y = -24.
Mark B.
08 September 2012