Question

Solve the equation 4x-5=7+4y for y.

Answer 1

Given the equation:

`4x-5=7+4y`

To solve this equation for y, we subtract 7 from each side:

`\begin{gathered} 4x-5-7=7+4y-7 \\ \\ \Rightarrow4x-12=4y \end{gathered}`

Finally, we divide by 4 on both sides:

`\begin{gathered} (4x)/(4)-(12)/(4)=(4y)/(4) \\ \\ \therefore y=x-3 \end{gathered}`