Question

Solve 3(5y+2)–y=2(y–3)

Answer 1

y = -1

Explanation:

Step 1. Expand the brackets.

3(5y + 2) - y = 2(y - 3)

(3 x 5y) + (3 x 2) - y = (2 x y) - (2 x 3)

15y + 6 - y = 2y - 6

Step 2. Simplify the expanded brackets (not always necessary but is in this case).

15y + 6 - y = 15y - y + 6 = 14y + 6

So

14y + 6 = 2y - 6

Step 3. Solve the equation.

14y + 6 = 2y - 6

+ 6 to both sides

14y + 12 = 2y

- 14y from both sides

12 = -12y

÷ 12 on both sides

1 = -y

flip the negative

-1 = y

Step 3. Write your answer.

y = -1

Answer 2

y= -1

Explanation:

3(5y +2)-y=2(y-3)

Distribute- 15y +6-y=2y -6

Combine variables- 15y-2y-y=-6-6

Add everything together- 12y= -12

Divide- y= -1