Respuesta :

TheAnimeGirl

Hi there & welcome to brainly!

Answer

[tex] \huge{ \boxed{ \bold{ \tt{y = - 32}}}}[/tex]

Step by step explanation

[tex] \text{ - 6(y + 15) = - 3y + 6}[/tex]

Step 1 : Distribute -6 through the parentheses

[tex] \rm{ ➸ - 6y - 90 = - 3y + 6}[/tex]

Move 3y to left hand side and change it's sign. Similarly, Move 90 to right hand side and change it's sign.

[tex] \rm{➸ - 6y + 3y = 6 + 90}[/tex]

Combine like terms

[tex] \rm{➸ - 3y = 6 + 90}[/tex]

Add the numbers : 6 and 90

[tex] \rm{➸ - 3y = 96}[/tex]

Divide both sides by -3

[tex] \rm{➸ \frac{ - 3y}{ - 3} = \frac{96}{ - 3}} [/tex]

[tex] \rm{➸ y = - 32}[/tex]

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Rules for solving an equation :

  • Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their signs ' + ' into ' - ' and ' - ' into ' + ' .
  • Simplify and get the single term on each side.
  • Divide each side by the coefficients of variable and then get the value of variable.

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

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