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12( 5 + 2y ) = 4y - (6 - 9y)

2 Answers

4 votes

Answer:

y = -6

Explanation:

STEP 1: 12(5 + 2y) - distribute 12 through the parentheses which will give you

60 + 24y. (when there is a "-" in front of a expression in parentheses, change the sign of each term of the expression)

STEP 2: then collect the terms and do 60 + 24y = 4y - 6 + 9y which will give you 13y

STEP 3: then move the variable to the left hand side and change its sign = 60 + 24y - 13y = -6 . move constant to the right hand side and change its sign like so 24y - 13y = -6 - 60

STEP 4: 24y - 13y = -6 - 60 collect the terms and youll get 11y = -6 - 60 then calculate the difference 11y = -66

STEP 5: Divide both sides of the equation by 11. y = -6 and thats your answer

User BeingMIAkashs
by
8.6k points
1 vote

Answer:

-6 =y

Explanation:

12( 5 + 2y ) = 4y - (6 - 9y)

60 +24y = 4y -6 +9y

Combine like terms

60 +24y = 13y -6

Subtract 24y from each side

60+24y-24y = 13y-24y -6

60 = -11y -6

Add 6 to each side

60+6 = -11y-6+6

66 = -11y

Divide each side by -11

66/-11 = -11y/-11

-6 =y

User Oleg Russkin
by
8.2k points

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