<span title="|4y+4|=|-3y+5|????????????????????????">|4y+4|=|-3y+5|???????????...</span>

Question

solve for the variabe..

y= , y=

Answer 1

Square both sides to get

(4y+4)^2 = (-3y+5)^2

16y^2 + 32y + 16 = 9y^2 - 30y + 25

7y^2 + 62y - 9 = 0

Solve to get

y = -9

y = 1/7

Hope that helps!

Answer 2

|4y + 4| = |-3y + 5|

Splits up into

4y + 4 = -3y + 5, 4y + 4 = -(-3y + 5)

Solve each individually.

4y + 4 = -3y + 5

7y = 1

y = 1/7

4y + 4 = -(-3y + 5)

4y + 4 = 3y - 5

y = -9

Therefore

y = { 1/7, -9 }

Answer 3

|4y+4|=|-3y+5|

square both side

become

16y^2 + 24y + 16 = 9y^2 -30y + 25

7y^2 + 54y - 9 = 0

then solve the equation

Answer 4

① 4y + 4 = - ( - 3y + 5)

　4y + 4 = 3y -5

　y = -9

② 4y + 4 =  - 3y + 5

　7y = -9

　y = -7/9

③ - ( 4y + 4 ) =  - 3y + 5

　-y + 9 =0

　y= 9

④ - (4y + 4) = - ( - 3y + 5)

　-y = -1

　y=1

so

y =  -9 ,  -7/9 , 9 or 1