Question

Solve the equation. – 4y - 37 = 6y + 13 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. y= (Type an integer or a simplified fraction.) B. The solution is all real numbers. C./ There is no solution.

Answer 1

$-4y-37=6y+13$

solve for y:

add 4y to both sides:

$\begin{gathered} -4y-37+4y=6y+13+4y \\ -37=10y+13 \end{gathered}$

Subtract 13 from both sides:

$\begin{gathered} -37-13=10y+13-13 \\ -50=10y \end{gathered}$

Divide both sides by 10:

$\begin{gathered} \frac{10y}{10}=-\frac{50}{10} \\ y=-5 \end{gathered}$