Solve Equations with Variables and Constants on Both Sides: example 8.23

Solve: $5 y - 8 = 7 y .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Solve: $3 p - 14 = 5 p .$

How did it go?


Subtract $5 y$ from both sides.
Simplify.
We have the variables on the right and the constants on the left. Divide both sides by 2.
Simplify.
Rewrite with the variable on the left.
Check: Let $y = −4$ .


Subtract $5 y$ from both sides.
Simplify.
We have the variables on the right and the constants on the left. Divide both sides by 2.
Simplify.
Rewrite with the variable on the left.
Check: Let $y = −4$ .