After solving the algebraic equation \( 6(y-4)=6(y+4) \), you end up with \( -24=24 \). What does this mean? Oy= all real numbers O \( y=-24 \) and 24 There are no solutions to this equation. You made a mistake in your algebra

When you simplify the equation \( 6(y-4)=6(y+4) \), you can divide both sides by 6 (as long as 6 is not zero, which it isn't), leading you to \( y-4 = y+4 \). Simplifying this results in \( -4 = 4 \), which indicates an inconsistency. This means that the original equation has no solutions, as it implies a false statement. The takeaway here is that when you reach a conclusion like \( -24 = 24 \) in algebra, it indicates that the equation represents parallel lines that never intersect. Thus, there are no values of \( y \) that satisfy this equation, solidifying your conclusion that there are no solutions. Keep this in mind as it’s a key concept in understanding equations in algebra!