we have the expression
[tex]\frac{9}{4}y-12=\frac{1}{4}y-4[/tex]Solve for y
That means
Isolate the variable y
so
step 1
Multiply by 4 both sides to remove the fractions
[tex]9y-48=y-16[/tex]step 2
subtract y both sides
[tex]\begin{gathered} 9y-48-y=y-16-y \\ 8y-48=-16 \end{gathered}[/tex]step 3
Adds 48 both sides
[tex]\begin{gathered} 8y-48+48=-16+48 \\ 8y=32 \end{gathered}[/tex]step 4
Divide by 8 both sides
[tex]\begin{gathered} y=\frac{32}{8} \\ y=4 \end{gathered}[/tex]therefore
