\[\boxed{\text{947.\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]
\[\textbf{а)}\ 4b(1 - 3b) -\]
\[- \left( b - 12b^{2} \right) < 43\]
\[4b - 12b^{2} - b + 12b^{2} < 43\]
\[3b < 43\]
\[b < \frac{43}{3}\]
\[b < 14\frac{1}{3}\]
\[b \in \left( - \infty;14\frac{1}{3} \right)\]
\[\textbf{б)}\ 3y² - 2y - 3y(y - 6) \geq - 2\]
\[3y^{2} - 2y - 3y^{2} + 18y \geq - 2\]
\[16y \geq - 2\]
\[y \geq - \frac{2}{16}\]
\[y \geq - \frac{1}{8}\]
\[y \in \left\lbrack - \frac{1}{8};\ + \infty \right)\]
\[\textbf{в)}\ 2p(5p + 2) -\]
\[- p(10p + 3) \leq 14\]
\[10p^{2} + 4p - 10p^{2} - 3p \leq 14\]
\[p \leq 14 \Longrightarrow \ \ p \in ( - \infty;14\rbrack\]
\[\textbf{г)}\ a(a - 1) - \left( a^{2} + a \right) < 34\]
\[a^{2} - a - a^{2} - a < 34\]
\[- a - a < 34\]
\[- 2a < 34\]
\[a > - 17 \Longrightarrow \ a \in ( - 17;\ + \infty)\]