0,5у^3-0, 5у(у+1) (у-3) =7

To solve the equation 0.5y^3 - 0.5y(y+1)(y-3) = 7, we can start by simplifying the equation:

0.5y^3 - 0.5y(y^2 - 2y - 3) = 7

Now, distribute the -0.5y into y^2 - 2y - 3:

0.5y^3 - 0.5y^3 + y^2 - 2y^2 - 3y + 0.5y(2y) + 0.5y(3) = 7

Simplifying further:

y^2 - y^3 - 2y^2 + y^2 - 3y + y^2 + 1.5y = 7

Now combine like terms:

-y^3 + y^2 - 1.5y = 7

Rearranging the equation to have the zero on one side:

-y^3 + y^2 - 1.5y - 7 = 0

Now, we have a polynomial equation that we can solve using various methods such as factoring, synthetic division, or using software tools. The exact solution(s) will depend on the form and coefficients of the equation.