5b+4v+3y = 52 and 2b+2v+6y = 52 and 6b+4v+2y = 48 Solve each system of equations

2b+2v+6y = 52

2b+2v+6y-6y = 52-6y

2b+2v= 52-6y

2b-2b+2v= 52-6y-2b

2v= 52-6y-2b

2v/2= 52-6y-2b/2

v=26-3y-b

5b+4v+3y = 52

5b+4(26-3y-b)+3y = 52

5b+4(26) (4)(-3y) (4)(-b)+3y = 52

5b+104-12y-4b+3y=52

b+104-9y=52

b+104-9y-104=52-104

b-9y=-52

b-9y+9y=-52+9y

b=9y-52

v=26-3y-(9y-52)

v=26-3y-9y+52

v=78-12y

6b+4v+2y = 48

6(9y-52)+4(78-12y)+2y = 48

6(9y) (6)(-52)+4(78) (4)(-12y)+2y = 48

54y-312+312-48y+2y=48

54y-48y+2y=48

8y=48

8y/8=48/8

y=6

v=78-12y=78-12(6)=78-72=6

b=9y-52=9(6)-52=54-52=2