0.5(4+2y)=0.2(y-5)-0.2

Solution for 0.5(4+2y)=0.2(y-5)-0.2 equation:

Simplifying
0.5(4 + 2y) = 0.2(y + -5) + -0.2
(4 * 0.5 + 2y * 0.5) = 0.2(y + -5) + -0.2
(2 + 1y) = 0.2(y + -5) + -0.2

Reorder the terms:
2 + 1y = 0.2(-5 + y) + -0.2
2 + 1y = (-5 * 0.2 + y * 0.2) + -0.2
2 + 1y = (-1 + 0.2y) + -0.2

Reorder the terms:
2 + 1y = -1 + -0.2 + 0.2y

Combine like terms: -1 + -0.2 = -1.2
2 + 1y = -1.2 + 0.2y

Solving
2 + 1y = -1.2 + 0.2y

Solving for variable 'y'.

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

Add '-0.2y' to each side of the equation.
2 + 1y + -0.2y = -1.2 + 0.2y + -0.2y

Combine like terms: 1y + -0.2y = 0.8y
2 + 0.8y = -1.2 + 0.2y + -0.2y

Combine like terms: 0.2y + -0.2y = 0.0
2 + 0.8y = -1.2 + 0.0
2 + 0.8y = -1.2

Add '-2' to each side of the equation.
2 + -2 + 0.8y = -1.2 + -2

Combine like terms: 2 + -2 = 0
0 + 0.8y = -1.2 + -2
0.8y = -1.2 + -2

Combine like terms: -1.2 + -2 = -3.2
0.8y = -3.2

Divide each side by '0.8'.
y = -4

Simplifying
y = -4