Sorry!
I have another problem!
4-2y=4y
I always get a bit confused if there's a minus sign in front of a number.
The book says the answer is 2/3
So what I first did was.
4-2y=4y
4=6y
which is 1 1/2, and wrong.?
4=6y
divide both sides by 6
2/3=y
4-2y=4y
4 - 2y + 2y = 4y + 2y
4 = 6y
Here you need to divide by sides of the equation by 6.
4/6 = y
No problem! Let me help you understand how to solve the equation correctly.
To solve the equation 4 - 2y = 4y, we need to isolate the variable y on one side of the equation.
Step 1: Simplify the equation by combining like terms:
4 - 2y = 4y
To eliminate the coefficient of 2 in front of y, we can add 2y to both sides of the equation:
4 - 2y + 2y = 4y + 2y
Simplifying the equation further, we get:
4 = 6y
Step 2: Now, to isolate y, we need to divide both sides by 6:
(4/6) = (6y)/6
Simplifying the equation further, we get:
2/3 = y
So, the correct solution is y = 2/3, which is the answer the book provided.
The mistake you made was in step 1. When you added 2y to both sides of the equation, it should be:
4 - 2y + 2y = 4y + 2y
4 = 4y
Then, when you divided both sides by 4, you would get y = 1, which is different from the correct answer of y = 2/3.
Remember to double-check your calculations and make sure you correctly add or subtract terms on both sides of the equation.