Question

2(y-6)=3(y-4)-y solve.

Answer 1

All real numbers

Interval Notation: (−∞,∞)

Explanation:

Since y is on the right side of the equation, switch the sides so it is on the left side of the equation.

3 (y−4) −y = 2 (y−6)

Simplify left side

3y − 12 −y = 2 (y−6)

2y − 12 = 2 (y−6)

Simplify right side

2y − 12 = 2y + 2 (−6)

2y − 12 = 2y − 12

Move all terms containing y to the left side of the equation.

2y − 12 − 2y = −12

−12 = −12

Since −12 = −12, the equation will always be true for any value of y.

All real numbers

Answer 2

y = 0

Explanation:

Distributive property

2y - 12 = 3y - 12 - y

2y - 12 = 2y - 12

2y - 2y - 12 = -12

0y - 12 = -12

0y = -12 + 12

0y = 0

0 = 0