Linear Equation...

Find the value of $$y$$ in the equation : 
$$\displaystyle \frac{(2-3y)+4y}{9y-(8y+7)}=\frac{4}{5}$$

The sum of one-half, one third and one-fourth of a number exceeds the number by $$12$$. What is the number?

Solve for $$x$$:  $$\displaystyle \frac{2x+3}{2}=5-\frac{2(x-4)}{3}$$.

X buys pens and pencils at Rs. 5 and Rs. 1 per piece respectively. For every two pens, he buys three pencils. He sold pens and pencils at 12 $$\%$$ and 10 $$\%$$ profit respectively. If his total sale is Rs. 725, then the number of pencils exceeds the number of pens by

A candidate in an examination was asked to find $$\displaystyle \dfrac{5}{14}$$ of a certain number. By mistake he found $$\displaystyle \dfrac{5}{4}$$ of it. Thus his answer was $$25$$ more than the correct answer. What was the number? 

Solve for $$x$$: $$\displaystyle \frac{3x}{4}-\frac{(x-1)}{3}=\frac{(x-2)}{2}$$.

Out of six consecutive numbers the sum of first three is $$27$$. What is the sum of next three?

I bought a number of books one day, four times of them on the next day, and eight times on the third day, In all I bought $$78$$ books. How many books did I buy on the second  day?

A person travelled $$\displaystyle \frac{5}{8}$$th of the distance by train  $$\displaystyle \frac{1}{4}$$th by bus and the remaining 15 km by boat .The total distance travelled by him was 

If two third, one half and one seventh of a number is added to itself the result is $$37$$. Find the number.