Respuesta :

★To Solve :

[tex]\rm\blue{13(y+7) = 3(y-1)}[/tex]

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★SOLUTION :

[tex]\rm\red\leadsto{13(y+7) = 3(y-1)}[/tex]

[tex]\rm\red\leadsto{13\times{y}+13\times7= 3\times{y}-3\times1}[/tex]

[tex]\rm\red\leadsto{13y+91=3y-3}[/tex]

[tex]\rm\red\leadsto{13y-3y=-3-91}[/tex]

[tex]\rm\red\leadsto{10y=-94}[/tex]

[tex] \rm\red\leadsto{} y =\dfrac{ { \cancel{-94}}^{ \:-45 } }{ { \cancel{10}}^{ \: 5} } [/tex]

[tex]\rm\red\leadsto{y=}\dfrac{-47}{5}[/tex]

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Answer

[tex] \red{13(y + 7) = 3(y - 1)} \\ \\ \color{red}\dashrightarrow \: 13y + 91 = 3y - 3 \\ \\ \color{pink} \dashrightarrow \: 13y - 3y = - 3 - 91 \\ \\ \pink{ \dashrightarrow \: 10y = - 94} \\ \\ \purple{ \dashrightarrow \: y = \frac{ \cancel{- 94} {}^{ - 47} }{ \cancel{10} {}^{5} } }\\ \\ \green{ \dashrightarrow \: y = \frac{ - 47}{5} }[/tex]

Hence, The Answer is

[tex] =\frac{ - 47}{5} [/tex]