7+0.6(1-y)=1.6-5(y-0.2)

Solution for 7+0.6(1-y)=1.6-5(y-0.2) equation:

Simplifying
7 + 0.6(1 + -1y) = 1.6 + -5(y + -0.2)
7 + (1 * 0.6 + -1y * 0.6) = 1.6 + -5(y + -0.2)
7 + (0.6 + -0.6y) = 1.6 + -5(y + -0.2)

Combine like terms: 7 + 0.6 = 7.6
7.6 + -0.6y = 1.6 + -5(y + -0.2)

Reorder the terms:
7.6 + -0.6y = 1.6 + -5(-0.2 + y)
7.6 + -0.6y = 1.6 + (-0.2 * -5 + y * -5)
7.6 + -0.6y = 1.6 + (1 + -5y)

Combine like terms: 1.6 + 1 = 2.6
7.6 + -0.6y = 2.6 + -5y

Solving
7.6 + -0.6y = 2.6 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
7.6 + -0.6y + 5y = 2.6 + -5y + 5y

Combine like terms: -0.6y + 5y = 4.4y
7.6 + 4.4y = 2.6 + -5y + 5y

Combine like terms: -5y + 5y = 0
7.6 + 4.4y = 2.6 + 0
7.6 + 4.4y = 2.6

Add '-7.6' to each side of the equation.
7.6 + -7.6 + 4.4y = 2.6 + -7.6

Combine like terms: 7.6 + -7.6 = 0.0
0.0 + 4.4y = 2.6 + -7.6
4.4y = 2.6 + -7.6

Combine like terms: 2.6 + -7.6 = -5
4.4y = -5

Divide each side by '4.4'.
y = -1.136363636

Simplifying
y = -1.136363636