8+0.3(4-y)=0.5y-2(y-0.8)

Solution for 8+0.3(4-y)=0.5y-2(y-0.8) equation:

Simplifying
8 + 0.3(4 + -1y) = 0.5y + -2(y + -0.8)
8 + (4 * 0.3 + -1y * 0.3) = 0.5y + -2(y + -0.8)
8 + (1.2 + -0.3y) = 0.5y + -2(y + -0.8)

Combine like terms: 8 + 1.2 = 9.2
9.2 + -0.3y = 0.5y + -2(y + -0.8)

Reorder the terms:
9.2 + -0.3y = 0.5y + -2(-0.8 + y)
9.2 + -0.3y = 0.5y + (-0.8 * -2 + y * -2)
9.2 + -0.3y = 0.5y + (1.6 + -2y)

Reorder the terms:
9.2 + -0.3y = 1.6 + 0.5y + -2y

Combine like terms: 0.5y + -2y = -1.5y
9.2 + -0.3y = 1.6 + -1.5y

Solving
9.2 + -0.3y = 1.6 + -1.5y

Solving for variable 'y'.

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

Add '1.5y' to each side of the equation.
9.2 + -0.3y + 1.5y = 1.6 + -1.5y + 1.5y

Combine like terms: -0.3y + 1.5y = 1.2y
9.2 + 1.2y = 1.6 + -1.5y + 1.5y

Combine like terms: -1.5y + 1.5y = 0.0
9.2 + 1.2y = 1.6 + 0.0
9.2 + 1.2y = 1.6

Add '-9.2' to each side of the equation.
9.2 + -9.2 + 1.2y = 1.6 + -9.2

Combine like terms: 9.2 + -9.2 = 0.0
0.0 + 1.2y = 1.6 + -9.2
1.2y = 1.6 + -9.2

Combine like terms: 1.6 + -9.2 = -7.6
1.2y = -7.6

Divide each side by '1.2'.
y = -6.333333333

Simplifying
y = -6.333333333