Question

$\frac{3y-6}{2}+5=\frac{11y-4}{5}$

Short answer

The value of$y=4$

Step-by-step solution

- The given information

$\frac{3y-6}{2}+5=\frac{11y-4}{5}$

Step 2

$$\begin{gathered} \frac{3y-6}{2}+5=\frac{11y-4}{5} \\ \Rightarrow \frac{3y-6}{2}-\frac{11y-4}{5}=-5 \\ \Rightarrow \frac{5(3y-6)-2(11y-4)}{10}=-5 \\ \Rightarrow 15y-30-22y+8=-50 \\ \Rightarrow -7y=-50+22 \\ \Rightarrow -7y=-28 \\ \Rightarrow y=4 \end{gathered}$$