What is the answer to this equation: -18 = 9 + 6(y - 4)

Mathematics

2 answers:

Genrish500 [490]2 years ago

8 0

Answer: -3/6 (reduced is -1/2)

Step-by-step explanation:

distribute the 6

-18 = 9 + 6y - 24

combine like terms on one side

-18 = -15 + 6y

get all like terms on one side

-3 = 6y

divide by 6

-3/6 = y

if you need to simplify or reduce the answer is -1/2.

Advocard [28]2 years ago

8 0

Answer:

$\large\boxed{y=-\dfrac{1}{2}=0.5}$

Step-by-step explanation:

$-18=9+6(y-4)\qquad\text{use the distributive property}\\\\-18=9+6y+(6)(-4)\\\\-18=9+6y-24\qquad\text{combine like terms}\\\\-18=6y+(9-24)\\\\-18=6y-15\qquad\text{add 15 to both sides}\\\\-3=6y\qquad\text{divide both sides by 6}\\\\\dfrac{-3}{6}=\dfrac{6y}{6}\\\\-\dfrac{3:3}{6:3}=y\to y=-\dfrac{1}{2}$

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