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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.
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
08 September 2012
Let me know if you still have trouble or didn't understand anything.
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.
08 September 2012
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