Question

2/3y -5/4y +8= -11/12y-4

Answer 1

are we solving for y?

Answer 2

yes solving equations

Answer 3

\[\frac{ 2 }{ 3 }y - \frac{ 5 }{ 4 }y +8 = -\frac{ 11 }{ 12}y - 4\] is this the equation?

Answer 4

yes

Answer 5

okay so the first thing we want to do is get all those fractions to have the same least common denominator, which is 12

so now we get: \[\frac{ 8 }{12 }y - \frac{ 15 }{ 12 }y + 8 = -\frac{ 11 }{ 12}y - 4\]

Answer 6

oky

Answer 7

lets get all the y's on one side and subtract/add the coefficients

Answer 8

\[\frac{ 4 }{ 12 }y + 8 = -4\]

Answer 9

subtract both sides by 8

\[\frac{ 4 }{12 }y = -12\]

Answer 10

4/12 is actually 1/3 so

\[\frac{ 1 }{ 3 }y = -12\]

Answer 11

what i have is 4/12 y + -3/12y + 11/12 -12

Answer 12

you changed your fractions wrong

Answer 13

oh ok one sec

Answer 14

2/3 ---> 8/12

5/4 ----> 15/12

Answer 15

y = -36

Answer 16

to get 8/12 did you multipy the 4 to 2/3?

Answer 17

yes, we want that 3 to become a 12, but we have to multiply the top by 4 also

so 2*4 = 8 and 3*4 = 12.... so we get 8/12

Answer 18

okay what do i do with the + 8

Answer 19

just move it to the other side by subtracting 8 from both sides. look at my steps above, i already solved the entire problem

Answer 20

and do i subract 8 from -11/12

Answer 21

no, -11/12 is a coefficient of y, so you can only subtract it from -4