Question

-6(y+15)=-3y+6 which value of y makes the equation true?

Answer 1

Hi there & welcome to brainly!

Answer

$\huge{ \boxed{ \bold{ \tt{y = - 32}}}}$

Step by step explanation

$\text{ - 6(y + 15) = - 3y + 6}$

Step 1 : Distribute -6 through the parentheses

$\rm{ ➸ - 6y - 90 = - 3y + 6}$

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

$\rm{➸ - 6y + 3y = 6 + 90}$

Combine like terms

$\rm{➸ - 3y = 6 + 90}$

Add the numbers : 6 and 90

$\rm{➸ - 3y = 96}$

Divide both sides by -3

$\rm{➸ \frac{ - 3y}{ - 3} = \frac{96}{ - 3}}$

$\rm{➸ y = - 32}$

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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

~$\text{TheAnimeGirl}$