How do you solve #12(5 + 2y) = 4y - (6 - 9y)#?

Question

Kennedy Adams · Accepted Answer

#y=-6# #12(5+2y)=4y-(6-9y)# #=> 60+24y=4y-6+9y# #=> 60+24y=13y-6# #=> 24y-13y=-60-6# #=> 11y=-66# #=> y=-66/11# #=> y=-6#

Savannah Anderson · Answer

#y = -6# #12(5 + 2y) = 4y - (6 - 9y)# #60 + 24y = 4y - 6 + 9y# #60 + 24y = 13y - 6# #24y - 13y = - 6 - 60# #11y = - 66# #(11y)/11 = - 66/11# #(cancel11y)/cancel11 = - 66/11# #y = -6#

Eva Abramson · Answer

undefined To solve the equation 12(5 + 2y) = 4y - (6 - 9y), you first distribute the 12 on the left side and simplify both sides of the equation. After that, combine like terms and isolate the variable y. Here are the steps:

1. Distribute the 12 on the left side:
   12 * 5 + 12 * 2y = 4y - (6 - 9y)
   60 + 24y = 4y - (6 - 9y)

2. Remove the parentheses:
   60 + 24y = 4y - 6 + 9y

3. Combine like terms:
   24y - 4y - 9y = -6 - 60
   11y = -66

4. Divide both sides by 11 to isolate y:
   y = -66 / 11
   y = -6

Abigail Allen · Answer

undefined To solve the equation 12(5 + 2y) = 4y - (6 - 9y), you would first distribute the 12 on the left side and the negative sign on the right side, then combine like terms, and finally isolate the variable y. Here are the steps:

1. Distribute 12 on the left side and distribute the negative sign on the right side:
   60 + 24y = 4y - 6 + 9y

2. Combine like terms:
   24y = 13y - 6

3. Move all terms involving y to one side and constants to the other side:
   24y - 13y = -6
   11y = -6

4. Divide both sides by 11 to isolate y:
   y = -6/11

Therefore, the solution to the equation is y = -6/11.