Question

(0.5y-2)-1=1-(0.5y-2)

Answer 1

Step-by-step explanation:

Simplifying

(0.5y + -2) + -1 = 1 + -1(0.5y + -2)

Reorder the terms:

(-2 + 0.5y) + -1 = 1 + -1(0.5y + -2)

Remove parenthesis around (-2 + 0.5y)

-2 + 0.5y + -1 = 1 + -1(0.5y + -2)

Reorder the terms:

-2 + -1 + 0.5y = 1 + -1(0.5y + -2)

Combine like terms: -2 + -1 = -3

-3 + 0.5y = 1 + -1(0.5y + -2)

Reorder the terms:

-3 + 0.5y = 1 + -1(-2 + 0.5y)

-3 + 0.5y = 1 + (-2 * -1 + 0.5y * -1)

-3 + 0.5y = 1 + (2 + -0.5y)

Combine like terms: 1 + 2 = 3

-3 + 0.5y = 3 + -0.5y

Solving

-3 + 0.5y = 3 + -0.5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '0.5y' to each side of the equation.

-3 + 0.5y + 0.5y = 3 + -0.5y + 0.5y

Combine like terms: 0.5y + 0.5y = 1y

-3 + 1y = 3 + -0.5y + 0.5y

Combine like terms: -0.5y + 0.5y = 0.0

-3 + 1y = 3 + 0.0

-3 + 1y = 3

Add '3' to each side of the equation.

-3 + 3 + 1y = 3 + 3

Combine like terms: -3 + 3 = 0

0 + 1y = 3 + 3

1y = 3 + 3

Combine like terms: 3 + 3 = 6

1y = 6

Divide each side by '1'.

y = 6

Simplifying

y = 6