Question

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

Answer 1

Answer:

• $\sf 3y+20$

Step-by-step 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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Answer 2

$\textsf {Applying the distributive property :}$

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

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

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

$\textsf {Combining like terms :}$

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

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