Solve : (2y - 3)/4 - (3y - 5)/2 = y + 3/4

Solution:

Given, the equation is (2y - 3)/4 - (3y - 5)/2 = y + 3/4

We have to solve the equation

On solving the equation for y,

(2y - 3)/4 - (3y - 5)/2 = y + 3/4

2y/4 - 3/4 - 3y/2 + 5/2 = y + 3/4

y/2 - 3y/2 - 3/4 + 5/2 = y + 3/4

y(1/2 - 3/2) + (-6 + 20)/8 = y + 3/4

y(-2/2) + 14/8 = y + 3/4

-y + 7/4 = y + 3/4

By transposing,

-y - y = 3/4 - 7/4

-2y = (3 - 7)/4

-2y = -4/4

-2y = -1

2y = 1

y = 1/2

Therefore, the value of y is 1/2.

✦ Try This: Solve : (y - 2)/3 - (2y - 6)/3 = 2y + 5/6

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2

NCERT Exemplar Class 8 Maths Chapter 4 Problem 69

Solve : (2y - 3)/4 - (3y - 5)/2 = y + 3/4

Summary:

On solving the equation (2y - 3)/4 - (3y - 5)/2 = y + 3/4, we get y = 1/2

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