2+.6(1-y)=.8y-2(y-.5)

Solution for 2+.6(1-y)=.8y-2(y-.5) equation:

Simplifying
2 + 0.6(1 + -1y) = 0.8y + -2(y + -0.5)
2 + (1 * 0.6 + -1y * 0.6) = 0.8y + -2(y + -0.5)
2 + (0.6 + -0.6y) = 0.8y + -2(y + -0.5)

Combine like terms: 2 + 0.6 = 2.6
2.6 + -0.6y = 0.8y + -2(y + -0.5)

Reorder the terms:
2.6 + -0.6y = 0.8y + -2(-0.5 + y)
2.6 + -0.6y = 0.8y + (-0.5 * -2 + y * -2)
2.6 + -0.6y = 0.8y + (1 + -2y)

Reorder the terms:
2.6 + -0.6y = 1 + 0.8y + -2y

Combine like terms: 0.8y + -2y = -1.2y
2.6 + -0.6y = 1 + -1.2y

Solving
2.6 + -0.6y = 1 + -1.2y

Solving for variable 'y'.

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

Add '1.2y' to each side of the equation.
2.6 + -0.6y + 1.2y = 1 + -1.2y + 1.2y

Combine like terms: -0.6y + 1.2y = 0.6y
2.6 + 0.6y = 1 + -1.2y + 1.2y

Combine like terms: -1.2y + 1.2y = 0.0
2.6 + 0.6y = 1 + 0.0
2.6 + 0.6y = 1

Add '-2.6' to each side of the equation.
2.6 + -2.6 + 0.6y = 1 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + 0.6y = 1 + -2.6
0.6y = 1 + -2.6

Combine like terms: 1 + -2.6 = -1.6
0.6y = -1.6

Divide each side by '0.6'.
y = -2.666666667

Simplifying
y = -2.666666667