What is 7(2x+y)+6(x+5y) ?

The solution to 7(2x+y)+6(x+5y) is 20x+37y

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simplify 7(2x+y)+6(x+5y)

simplify

7 (2 x + y) + 6 (x + 5 y)

20 x + 37 y

Solution steps

7 (2 x + y) + 6 (x + 5 y)

Expand

7 (2 x + y) : 14 x + 7 y

= 14 x + 7 y + 6 (x + 5 y)

Expand

6 (x + 5 y) : 6 x + 30 y

= 14 x + 7 y + 6 x + 30 y

Group like terms

= 14 x + 6 x + 7 y + 30 y

Add similar elements:

14 x + 6 x = 20 x

= 20 x + 7 y + 30 y

Add similar elements:

7 y + 30 y = 37 y

= 20 x + 37 y

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