Question

Solve for y16=5(y+6)-7ySimplify your answer as much as possible

Answer 1

Given the equation:

16 = 5(y + 6) - 7y

Let's solve the equation for y.

To solve for y, take the following steps:

• Step 1:

Apply distributive property

`\begin{gathered} 16=5(y)+5(6)-7y \\ \\ 16=5y+30-7y \end{gathered}`

• Step 2:

Combine like terms on the right side

`\begin{gathered} 16=5y-7y+30 \\ \\ 16=-2y+30 \end{gathered}`

• Step 3:

Subtract 30 from both sides:

`\begin{gathered} 16-30=-2y+30-30 \\ \\ -14=-2y \end{gathered}`

• Step 4:

Divide both sides by -2

`\begin{gathered} (-14)/(-2)=(-2y)/(-2) \\ \\ 7=y \\ \\ y=7 \end{gathered}`

Therefore, the value of y is 7.

ANSWER:

y = 7