Answer: y = -65/11
Step-by-step explanation:
12 ( 5 + 2y) = 4y - (5 - 9y)
60 + 24y = 4y - 5 - 9y
↑This is where she made the mistake
When you distribute - 1 to 5 and -9y, you multiply -1 by both expressions
-1 × 5 = -5
-1 × -9y = + 9y
She wrote - 9y not + 9y when it should be + 9y cuz negative × negative is positive.
The correct solution to the equation
12 ( 5 + 2y) = 4y - (5 - 9y)
60 + 24y = 4y - 5 + 9y
Subtract 60 from both sides
24y = 4y - 5 + 9y - 60
24y = 13y - 65
Subtract 13y from both sides
11y = -65
Divide 11 from both sides
y = -65/11
