0.08y+0.08(1000-y)=0.5y

Solution for 0.08y+0.08(1000-y)=0.5y equation:

Simplifying
0.08y + 0.08(1000 + -1y) = 0.5y
0.08y + (1000 * 0.08 + -1y * 0.08) = 0.5y
0.08y + (80 + -0.08y) = 0.5y

Reorder the terms:
80 + 0.08y + -0.08y = 0.5y

Combine like terms: 0.08y + -0.08y = 0.00
80 + 0.00 = 0.5y
80 = 0.5y

Solving
80 = 0.5y

Solving for variable 'y'.

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

Add '-0.5y' to each side of the equation.
80 + -0.5y = 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
80 + -0.5y = 0.0

Add '-80' to each side of the equation.
80 + -80 + -0.5y = 0.0 + -80

Combine like terms: 80 + -80 = 0
0 + -0.5y = 0.0 + -80
-0.5y = 0.0 + -80

Combine like terms: 0.0 + -80 = -80
-0.5y = -80

Divide each side by '-0.5'.
y = 160

Simplifying
y = 160