Question

Simplify to create an equivalent expression. 6 ( 7 − 3 y ) + 6 ( y + 1 ) 6(7−3y)+6(y+1)6, left parenthesis, 7, minus, 3, y, right parenthesis, plus, 6, left parenthesis, y, plus, 1, right parenthesis Choose 1 answer: Choose 1 answer: (Choice A) A 12 y + 48 12y+4812, y, plus, 48 (Choice B) B − 12 y + 43 −12y+43minus, 12, y, plus, 43 (Choice C) C − 12 y + 48 −12y+48minus, 12, y, plus, 48 (Choice D) D − 12 y − 48 −12y−48minus, 12, y, minus, 48

Answer 1

`6(7-3y)+6(y+1) = - 12y + 48`

Explanation:

Given

`6(7-3y)+6(y+1)`

Required

Determine the equivalent expression

We have:

`6(7-3y)+6(y+1)`

Open brackets

`6(7-3y)+6(y+1) = 6 * 7 - 6 * 3y + 6 * y + 6 * 1`

`6(7-3y)+6(y+1) = 42 - 18y + 6y + 6`

Collect like terms

`6(7-3y)+6(y+1) = - 18y + 6y + 6 + 42`

`6(7-3y)+6(y+1) = - 12y + 48`