I'm trying to solve for y

(4y+2) = 2(3y-25)
I've gotten as far as
y= -26 but i needed to figure out how to make the answer positive

4 y + 2 = 6 y - 50

2 = 2 y - 50

52 = 2 y

26 = y

seems to me y is positive without doing much.

(4y+2) = 2(3y-25)

4y + 2 = 6y - 50

Add 50 to both sides. Subtract 4y from both sides.

50 + 2 = 6y - 4y

52 = 2y

26 = y

To solve for y in the given equation (4y+2) = 2(3y-25), you need to isolate y on one side of the equation.

Let's go through the steps:

1. Distribute the 2 on the right side of the equation to simplify it:
4y + 2 = 6y - 50

2. Next, let's get all the terms with y on one side of the equation.
Subtract 4y from both sides:
2 = 2y - 50

3. Now, let's isolate the y term by moving the constant term (-50) to the other side of the equation.
Add 50 to both sides:
52 = 2y

4. Finally, divide both sides by 2 to solve for y:
y = 52 / 2
y = 26

So, the correct value of y is 26, not -26.

To avoid confusion between positive and negative values while solving equations, make sure to carefully perform each step of the equation and double-check your work.