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Kathy: 5/4 is not 2.5 rather 1.25

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Kathy: 5/4 is not 2.5 rather 1.25

1/2(7y-2)+1/4(2y+9)

= 7y/2 - 1 +y/2 + 9/4

= (7y+y)/2 +9/4-1

= 8y/2 + (9-4)/4 = 4y +5/4

Bring the fractions through:

- 1/2 times 7y and -2; 1/4 times 2y and 9
- 7/2 y - 2/2 + 2/4 y + 9/4

Group the terms (the "y" terms and the constants) and simplify

- 7/2 y +1/2 y - 1 + 9/4

Combine like terms

- 8/2 y + 5/4

Simplify one more time, and you're done!

- 4y + 5/4 or 4y + 2.5