Find y-(2-y)=4(1+y)
Simplifying the expression on the left side:
y - (2 - y) = y - 2 + y = 2y - 2
Distributing the 4 on the right side:
4(1 + y) = 4 + 4y
Putting both sides together:
2y - 2 = 4 + 4y
Subtracting 2y from both sides:
-2 = 4y + 4
Subtracting 4 from both sides:
-6 = 4y
Dividing by 4 on both sides:
y = -1.5
Therefore, y - (2 - y) = 4(1 + y) simplifies to -1.5 - (-3.5) = 4(0.5), which is true.
To solve the given equation, let's start by simplifying both sides:
y - (2 - y) = 4(1 + y)
First, distribute the 4 on the right side:
y - 2 + y = 4 + 4y
Combine like terms on both sides:
2y - 2 = 4 + 4y
Next, move all the terms with y to one side of the equation and the constant terms to the other side by subtracting 2y from both sides:
-2 = 4 + 4y - 2y
Simplify:
-2 = 4 + 2y
Now, move the constant term to the other side by subtracting 4 from both sides:
-2 - 4 = 2y
Simplify:
-6 = 2y
Finally, divide both sides by 2 to isolate y:
-6/2 = y
Simplify:
-3 = y
Therefore, the solution to the equation is y = -3.