-9-12(2-3y)= -25-2(y+6)
-9-12(2-3y)= -25-2(y+6)
-9 -14 + 36y = -25 - 2y - 150
38y = 9 + 14 - 25 - 150
38y = -152
y = -152/38
y = -4
12/345
To solve the equation -9 - 12(2 - 3y) = -25 - 2(y + 6), we will follow these steps:
Step 1: Distribute the multiplication
-9 - 12(2 - 3y) = -25 - 2(y + 6)
-9 - 24 + 36y = -25 - 2y - 12
Simplifying both sides of the equation, we get:
Step 2: Combine like terms
-33 + 36y = -37 - 2y
Step 3: Move all the y terms to one side and constant terms to the other side
Adding 2y to both sides and adding 37 to both sides, we have:
36y + 2y = -37 + 33
38y = -4
Step 4: Solve for y
Divide both sides of the equation by 38 to isolate y:
(38y)/38 = -4/38
y = -1/19
Therefore, the solution to the equation -9 - 12(2 - 3y) = -25 - 2(y + 6) is y = -1/19.