Question

Which statement is true about this equation? 3(-y + 7) = 3(y + 5) + 6 A. The equation has one solution, y = 0. B. The equation has one solution, y = -1. C. The equation has no solution. D. The equation has infinitely many solutions.

Answer 1

Answer:y=0 So its A

Step-by-step explanation:3(-y+7)=3(y+5)+6

We move all terms to the left:

3(-y+7)-(3(y+5)+6)=0

We add all the numbers together, and all the variables

3(-1y+7)-(3(y+5)+6)=0

We multiply parentheses

-3y-(3(y+5)+6)+21=0

We calculate terms in parentheses: -(3(y+5)+6), so:

3(y+5)+6

We multiply parentheses

3y+15+6

We add all the numbers together, and all the variables

3y+21

Back to the equation:

-(3y+21)

We get rid of parentheses

-3y-3y-21+21=0

We add all the numbers together, and all the variables

-6y=0

y=0/-6

y=0