Question

solve each equation.
use the sketch tool or paper if it helps with your
5y + 14 = -43 - 3y

Explanation:

Step1: Add 3y to both sides

To get all the y terms on one side, we add \(3y\) to both sides of the equation \(5y + 14=-43 - 3y\). This gives us \(5y+3y + 14=-43-3y + 3y\), which simplifies to \(8y + 14=-43\).

Step2: Subtract 14 from both sides

Next, we want to isolate the term with y. So we subtract 14 from both sides: \(8y+14 - 14=-43 - 14\). This simplifies to \(8y=-57\).

Step3: Divide by 8

Finally, to solve for y, we divide both sides by 8: \(y=\frac{-57}{8}=-7.125\).

Answer:

\(y = - \frac{57}{8}\) (or \(y=-7.125\))