In this example we are multiplying two binomials so FOIL method can be used.

$$ \begin{aligned} \left( \color{blue}{ 11y+7}\right) \cdot \left( \color{orangered}{ y-2}\right) &= \underbrace{ \color{blue}{11y} \cdot \color{orangered}{y} }_{\text{FIRST}} + \underbrace{ \color{blue}{11y} \cdot \left( \color{orangered}{-2} \right) }_{\text{OUTER}} + \underbrace{ \color{blue}{7} \cdot \color{orangered}{y} }_{\text{INNER}} + \underbrace{ \color{blue}{7} \cdot \left( \color{orangered}{-2} \right) }_{\text{LAST}} = \\ &= 11y^2 + \left( -22y\right) + 7y + \left( -14\right) = \\ &= 11y^2 + \left( -22y\right) + 7y + \left( -14\right) = \\ &= 11y^2-15y-14; \end{aligned} $$

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