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Question
Solve the following:
`(2y - 3)/4 - (3y - 5)/2 = y + 3/4`
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Solution
Given, `(2y - 3)/4 - (3y - 5)/2 = y + 3/4`
⇒ `(2y - 3 - 2(3y - 5))/4 = (4y + 3)/4`
⇒ 2y – 3 – 6y + 10 = 4y + 3
⇒ – 4y + 7 = 4y + 3 ...[Transposing 4y to LHS and 7 to RHS]
⇒ – 4y – 4y = 3 – 7
⇒ – 8y = – 4
⇒ `(-8y)/-8 = (-4)/-8` ...[Dividing both sides by – 8]
∴ `y = 1/2`
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