Question

2/3(4y-1)-(2y-1+4/3)=1/3y+4/3​

Answer 1

Answer:

One solution was found :

y = 36/5 = 7.200

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

2*y+3/4*y-1-(3*y-2/3*y+2)=0

Step by step solution :

Step 1 :

2

Simplify —

3

Equation at the end of step 1 :

3 2

((2y+(—•y))-1)-((3y-(—•y))+2) = 0

4 3

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 3 as the denominator :

3y 3y • 3

3y = —— = ——————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3y • 3 - (2y) 7y

————————————— = ——

3 3

Equation at the end of step 2 :

3 7y

((2y+(—•y))-1)-(——+2) = 0

4 3

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 3 as the denominator :

2 2 • 3

2 = — = —————

1 3

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

7y + 2 • 3 7y + 6

—————————— = ——————

3 3

Equation at the end of step 3 :

3 (7y + 6)

((2y + (— • y)) - 1) - ———————— = 0

4 3

Step 4 :

3

Simplify —

4

Equation at the end of step 4 :

3 (7y + 6)

((2y + (— • y)) - 1) - ———————— = 0

4 3

Step 5 :

Rewriting the whole as an Equivalent Fraction :

5.1 Adding a fraction to a whole

Rewrite the whole as a fraction using 4 as the denominator :

2y 2y • 4

2y = —— = ——————

1 4

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

2y • 4 + 3y 11y

——————————— = ———

4 4

Equation at the end of step 5 :

11y (7y + 6)

(——— - 1) - ———————— = 0

4 3

Step 6 :

Rewriting the whole as an Equivalent Fraction :

6.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

1 1 • 4

1 = — = —————

1 4

Adding fractions that have a common denominator :

6.2 Adding up the two equivalent fractions

11y - (4) 11y - 4

————————— = ———————

4 4

Equation at the end of step 6 :

(11y - 4) (7y + 6)

————————— - ———————— = 0

4 3