Question

Simplify and solve the following linear equation: $15(y-4)-2(y-9)+5(y+6)=0$.

Answer 1

Simplification of linear equation:

Given: $15(y-4)-2(y-9)+5(y+6)=0$

$$\begin{gathered} 15(y–4)–2(y–9)+5(y+6)=0 \\ \Rightarrow 15y–60-2y+18+5y+30=0 \end{gathered}$$

Rearranging the equation and combining like terms we get

$$\begin{gathered} \Rightarrow 15y–2y+5y=60–18–30 \\ \Rightarrow 18y=12 \\ \Rightarrow y=\frac{12}{18} \\ \Rightarrow y=\frac{2}{3} \end{gathered}$$

Therefore, $y=\frac{2}{3}$.