Question

6(y + 5) = 15y + 12
What value of y makes the equation true

Answer 1

6y+30=15y+12
9y=18
y=2

Answer 2

`\boxed{y=2}`

Explanation:

`6(y + 5) = 15y + 12`

`\sf Expand \ brackets.`

`6y+30=15y+12`

`\sf Subtract \ 12 \ and \ 6y \ from \ both \ sides.`

`6y+30-12-6y=15y+12-12-6y`

`30-12=15y-6y`

`18=9y`

`\sf Divide \ both \ sides \ by \ 9.`

`\displaystyle (18)/(9) =(9y)/(9)`

`2=y`