Question

Solve for y6(y-7)-3y= - 21Simplify your answer as much as possible

Answer 1

`y=7`

Step-by-step explanation

Given;

`6\left(y-7\right)-3y=-21`

Expand ;

`\begin{gathered} 6\left(y-7\right)-3y=-21 \\ 6y-42-3y=2-1 \end{gathered}`

Group like terms and solve;

`\begin{gathered} 6y-42-3y=-21 \\ 3y-42=-21 \\ \end{gathered}`

Add 42 to both sides;

`\begin{gathered} 3y-42+42=-21+42 \\ 3y=21 \end{gathered}`

Divide both sides by 3;

`\begin{gathered} (3y)/(3)=(21)/(3) \\ y=7 \end{gathered}`