Решите уравнение (2y-3)(3y+1)+2*(y-5)(y+5)=2*(1-2y)^2+6y.

Ответ:

\[(2y - 3)(3y + 1) + 2 \cdot (y - 5)(y + 5) =\]

\[= 2 \cdot (1 - 2y)^{2} + 6y\]

\[6y^{2} + 2y - 9y - 3 + 2y^{2} - 50 =\]

\[= 2 - 8y + 8y^{2} + 6y\]

\[- 7y - 53 + 2y = 2\]

\[- 5y = 55\]

\[y = - 11\]

\[Ответ:\ y = - 11.\ \]