0.06(100-y)+0.4y=0.05(86)

Solution for 0.06(100-y)+0.4y=0.05(86) equation:

Simplifying
0.06(100 + -1y) + 0.4y = 0.05(86)
(100 * 0.06 + -1y * 0.06) + 0.4y = 0.05(86)
(6 + -0.06y) + 0.4y = 0.05(86)

Combine like terms: -0.06y + 0.4y = 0.34y
6 + 0.34y = 0.05(86)

Multiply 0.05 * 86
6 + 0.34y = 4.3

Solving
6 + 0.34y = 4.3

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 0.34y = 4.3 + -6

Combine like terms: 6 + -6 = 0
0 + 0.34y = 4.3 + -6
0.34y = 4.3 + -6

Combine like terms: 4.3 + -6 = -1.7
0.34y = -1.7

Divide each side by '0.34'.
y = -5

Simplifying
y = -5