Question

Solve for y 6(y-1/3) = 4(3y-5)

Answer 1

y=3

Explanation:

6(y−13)=4(3y−5)

(6)(y)+(6)(−13)=(4)(3y)+(4)(−5)(Distribute)

6y+−2=12y+−20

6y−2=12y−20

Step 2: Subtract 12y from both sides.

6y−2−12y=12y−20−12y

−6y−2=−20

Step 3: Add 2 to both sides.

−6y−2+2=−20+2

−6y=−18

Step 4: Divide both sides by -6.

−6y−6=−18−6

y=3

Answer 2

y = 3

Explanation:

It can work well to start by eliminating parentheses.

6(y -1/3) = 4(3y -5)

6y -2 = 12y -20

18 = 6y . . . . . . . . . add 20-6y to both sides

3 = y . . . . . . . . . . . divide by 6