Answer
y = 0
Work Step by Step
9y - 3(6 - 5y) = y - 2(3y + 9)
Expand the left side of the equation:
9y - 3(6 - 5y) = 9y - 18 + 15y
Expand the right side of the equation:
y - 2(3y + 9) = y - 6y - 18
Rewrite the equation:
9y - 18 + 15y = y - 6y - 18
Simplify by adding like terms:
24y - 18 = -5y - 18
Add 18 to both sides:
24y - 18 + 18 = -5y - 18 + 18
24y = -5y
Add 5y to both sides:
24y + 5y = -5y + 5y
29y = 0
y = 0
Check:
9y - 3(6 - 5y) = y - 2(3y + 9)
9(0) - 3(6-5(0)) = 0 - 2(3(0) + 9)
0 - 3(6 - 0) = 0 - 18
-18 = -18 --> TRUE
