Respuesta :

Answer:

[tex]y=-9[/tex]

Step-by-step explanation:

[tex]2-\frac{1}{8}y=11+\frac{7}{8}y[/tex]

Subtract 2 from both sides:-

[tex]2-\frac{1}{8}y-2=11+\frac{7}{8}y-2[/tex]

[tex]-\frac{1}{8}y=\frac{7}{8}y+9[/tex]

Subtract 7/8y  from both sides:-

[tex]-\frac{1}{8}y-\frac{7}{8}y=\frac{7}{8}y+9-\frac{7}{8}y[/tex]

[tex]-y=9[/tex]

Divide both sides by -1:-

[tex]\frac{-y}{-1}=\frac{9}{-1}[/tex]

[tex]y=-9[/tex]

OAmalOHopeO

✎--------------------------

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

  • [tex] \tt \: 2 - \frac { 1 } { 8 } y = 11 + \frac { 7 } { 8 } y \\ [/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \tt \: 2 - \frac { 1 } { 8 } y = 11 + \frac { 7 } { 8 } y \\ [/tex]

Subtract [tex]\tt\frac{7}{8}y[/tex] from both sides.

[tex] \tt \: 2-\frac{1}{8}y-\frac{7}{8}y=11 \\ [/tex]

Combine [tex]\tt-\frac{1}{8}y[/tex] and [tex]\tt-\frac{7}{8}y[/tex] to get -y.

[tex] \tt \: 2-y=11 [/tex]

Subtract 2 from both sides.

[tex] \tt \: -y=11-2 [/tex]

Subtract 2 from 11 to get 9.

[tex] \tt \: -y=9 [/tex]

Multiply both sides by -1.

[tex] \boxed{\boxed{ \bf \: y=-9 }}[/tex]