Question

15(y-4) - 2 (y-9) +5(y+6)=6


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Answer 1

Answer:

15 ( y - 4 ) - 2 ( y - 9 ) + 5 ( y + 6 ) = 6

15y - 60 - 2y - 18 + 5y + 30 = 6

15y - 2y + 5y - 60 - 18 + 30 = 6

13y + 5y - 78 + 30 = 6

18y - 48 = 6

18y = 6 + 48

18y = 54

y = 54/18

y = 3

Step - by - step explanation :

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Answer 2

Answer:

15 ( y - 4) - 2 ( y - 9) + 5 ( y + 6) =6

• multiply ( y - 4) by 15

• multiply ( y - 9) by - 2

• multiply ( y + 6) by 5

15y - 60 - 2y + 18 + 5y + 30 = 6

15y + 5y - 2y - 60 + 18 + 30 = 6

20y - 2y - 60 + 48 = 6

18y - 12 = 6

18y = 6 + 12

18y = 18

y = 18 / 18

y = 1

value of y = 1

Verification

put the value of y in the equation

15 (y - 4) - 2( y - 9 ) + 5 ( y + 6) = 6

15 ( 1 - 4) - 2 ( 1 - 9) + 5 ( 1 + 6) = 6

15 ( -3) - 2 ( -8) + 5 ( 7 ) = 6

- 45 + 16 + 35 = 6

- 45 + 51 = 6

6 = 6

LHS = RHS

Hence verified

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