Solve Equations with Variables and Constants on Both Sides: example 8.33

Solve: $8 - 2 (3 y + 5) = 0 .$

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: $12 - 3 (4 j + 3) = −17 .$

How did it go?


Simplify—use the Distributive Property.
Combine like terms.
Add 2 to both sides to collect constants on the right.
Simplify.
Divide both sides by −6.
Simplify.
Check: Let $y = - \frac{1}{3}$ .


Simplify—use the Distributive Property.
Combine like terms.
Add 2 to both sides to collect constants on the right.
Simplify.
Divide both sides by −6.
Simplify.
Check: Let $y = - \frac{1}{3}$ .