0.20(y-8)+0.8y=0.02y-0.3

Solution for 0.20(y-8)+0.8y=0.02y-0.3 equation:

Simplifying
0.20(y + -8) + 0.8y = 0.02y + -0.3

Reorder the terms:
0.20(-8 + y) + 0.8y = 0.02y + -0.3
(-8 * 0.20 + y * 0.20) + 0.8y = 0.02y + -0.3
(-1.6 + 0.20y) + 0.8y = 0.02y + -0.3

Combine like terms: 0.20y + 0.8y = 1y
-1.6 + 1y = 0.02y + -0.3

Reorder the terms:
-1.6 + 1y = -0.3 + 0.02y

Solving
-1.6 + 1y = -0.3 + 0.02y

Solving for variable 'y'.

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

Add '-0.02y' to each side of the equation.
-1.6 + 1y + -0.02y = -0.3 + 0.02y + -0.02y

Combine like terms: 1y + -0.02y = 0.98y
-1.6 + 0.98y = -0.3 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-1.6 + 0.98y = -0.3 + 0.00
-1.6 + 0.98y = -0.3

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 0.98y = -0.3 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.98y = -0.3 + 1.6
0.98y = -0.3 + 1.6

Combine like terms: -0.3 + 1.6 = 1.3
0.98y = 1.3

Divide each side by '0.98'.
y = 1.326530612

Simplifying
y = 1.326530612