Question

Expand & simplify 5 ( y + 2 ) − 2 ( y − 5 )

Answer 1

`\textsf {Applying the distributive property :}`

`\implies \mathsf{5(y + 2) - 2(y - 5)}`

`\implies \mathsf {5(y) + 5(2) - 2(y) - 2(-5)}`

`\implies \mathsf {5y + 10 - 2y + 10}`

`\textsf {Combining like terms :}`

`\implies \textsf {5y - 2y + 10 + 10}`

`\implies \textsf {3y + 20}` (Final answer)

Answer 2

• 
  `\sf 3y+20`

Explanation:

`\sf 5 ( y + 2 ) - 2 ( y - 5 )`

Expand

Use the distributive property to multiply 5 by y+2, and -2 by y-5.

`\sf 5y+10-2y+10`

Combine like terms.

`\sf 3y+10+10`

`\sf 3y+20`

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