Question

Solve the following equation- 2(y+7) = 3(y-10)
PLEASE HELPP!!!

Answer 1

Answer: y = 16/5

Big Idea:

In order to solve the equation, isolate the variable.

Explanation:

Given equation:

• 
  `\bf{-2(y+7)=3(y-10)}`

I am going to start by using the distributive property.

`\bf{-2y-14=3y-30}`

`\bf{-2y-3y=-30+14}`

`\bf{-5y=-16}`

`\bf{5y=16}`

`\bf{y=\cfrac{16}{5}}` {answer}

Answer 2

y =
`(16)/(5)`

Explanation:

- 2(y + 7) = 3(y - 10) ← distribute parenthesis on both sides

- 2y - 14 = 3y - 30 ( subtract 3y from both sides )

- 2y - 3y - 14 = 3y - 3y - 30 ( simplify )

- 5y - 14= - 30 ( add 14 to both sides )

- 5y - 14 + 14 = - 30 + 14 ( simplify )

- 5y = - 16 ( divide both sides by - 5 )

`(-5)/(-5)` y =
`(-16)/(-5)` , that is

y =
`(16)/(5)`