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
[tex]\begin{gathered} 16=5(y)+5(6)-7y \\ \\ 16=5y+30-7y \end{gathered}[/tex]• Step 2:
Combine like terms on the right side
[tex]\begin{gathered} 16=5y-7y+30 \\ \\ 16=-2y+30 \end{gathered}[/tex]• Step 3:
Subtract 30 from both sides:
[tex]\begin{gathered} 16-30=-2y+30-30 \\ \\ -14=-2y \end{gathered}[/tex]• Step 4:
Divide both sides by -2
[tex]\begin{gathered} \frac{-14}{-2}=\frac{-2y}{-2} \\ \\ 7=y \\ \\ y=7 \end{gathered}[/tex]Therefore, the value of y is 7.
ANSWER:
y = 7
