Expand and simplify $$ y(3 y+6)+3(3 y+4) $$

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Calculate or simplify the expression $$ y(3*y+6)+3*(3*y+4) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$y\left(3y+6\right)+3\left(3y+4\right)$$
- step1: Expand the expression:
  $$3y^{2}+6y+3\left(3y+4\right)$$
- step2: Expand the expression:
  $$3y^{2}+6y+9y+12$$
- step3: Add the terms:
  $$3y^{2}+15y+12$$
The expanded and simplified form of the expression $$ y(3 y+6)+3(3 y+4) $$ is $$ 3y^{2}+15y+12 $$.
$$ 3y^{2}+15y+12 $$

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