Math question isolating?

Question

x = (2/3)y-4

Times each side by three.

3x = 2y-4

Plus four to each side.

3x+4 = 2y

Divide each side by two.

y = 3x+4/2

isnt the something wrong in this step when you times each side by 3 dont you also times the -4 by 3 so it would be -12

Answer 1

well it's supposed to be

3x  = 2y - 12

Add four to each side

3x + 4 = 2y - 8

Divide each side by 2

3/2x + 4 = y - 4

Final Answer would be

y = -3/2x - 8

Answer 2

this is how i would do it

x=(2/3)y-4

times everything by three

3x=2y-12

add 12 to each side

3x+12=2y

divide everything by 2

y=1.5x+6

this is how i would solve for y

x = (2/3)y-4

y=1.5x+6

i dont know if you need this but

x=(2/3)(1.5x+6)-4

3x=2(4.5x+18)-12

3x=9x+36-12

3x=9x+24

0=6x+24

-24=6x

x=-4

y=1.5x+6

y=1.5(-4)+6

y=-6+6

y=0

x=-4

y=0