Question

Solve the equation $$ -3 y+14=-5 y $$

Short answer

The solution to the equation is \(y = -7\)

Step-by-step solution

Collect like terms

In any equation, the first process is to collect like terms together. Here, we have \(-3y\) and \(-5y\) on separate sides of the equation. To bring them together, add \(5y\) on both sides to keep the equation balanced. It will change the equation to \( 2y+14=0\).

Isolate y

Next step is to isolate y on one side of the equation. To do that, subtract 14 on both sides and it will result in the equation changing to \(2y= -14\).

Find the value of y

Finally, we need to find the value of y. y can be found by dividing \(-14\) by the coefficient of y, here being \(2\). Hence, after carrying out the operation we get the value of \(y=-7\).