1/4 y-2=5/8 y+1

Question

No calculator allow (with no calculator please)

Answer 1

Let's find the Least Common Denominator (LCD) of 4 and 8.

the LCD is 8. Then multiply both sides of the equation by 8.

8(1/4y -2) = 8(5/8y + 1)

Use the distributive property.

2 y - 16 = 5y + 8

The variable is on both sides of the equation.

Let's subtract 2y from both sides of the equation.

2y - 16 - 2y = 5y + 8 - 2y

-16 = 3y + 8.

Now subtract 8 from both sides of the equation.

-16 -8 = 3y + 8 - 8

-24 = 3y

Divide by 3: -8 = y