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Linear Equations In One Variable

Question
CBSEENMA8002342

Simplify and solve the following linear equation:

15(y-4) - 2(y-9) + 5(y+6) =0

Solution

15(y-4) -2(y-9)+5(y+6) = 0
Opening the brackets, we have
  15y -60 - 2y + 18 + 5y + 30 =0
Collecting the like terms,
 
(15-2+5)y + (-60 + 18 +30) =0
or                     18y + (-12) =0
Transposing (-12) to RHS, we have
                                18y = 12
or                                  straight y equals 12 over 18 equals 2 over 3 (Dividing both sides by 18)

∴                                     straight y equals 2 over 3