4.1(3-y)=1.025(y-0.5)

Solution for 4.1(3-y)=1.025(y-0.5) equation:

Simplifying
4.1(3 + -1y) = 1.025(y + -0.5)
(3 * 4.1 + -1y * 4.1) = 1.025(y + -0.5)
(12.3 + -4.1y) = 1.025(y + -0.5)

Reorder the terms:
12.3 + -4.1y = 1.025(-0.5 + y)
12.3 + -4.1y = (-0.5 * 1.025 + y * 1.025)
12.3 + -4.1y = (-0.5125 + 1.025y)

Solving
12.3 + -4.1y = -0.5125 + 1.025y

Solving for variable 'y'.

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

Add '-1.025y' to each side of the equation.
12.3 + -4.1y + -1.025y = -0.5125 + 1.025y + -1.025y

Combine like terms: -4.1y + -1.025y = -5.125y
12.3 + -5.125y = -0.5125 + 1.025y + -1.025y

Combine like terms: 1.025y + -1.025y = 0.000
12.3 + -5.125y = -0.5125 + 0.000
12.3 + -5.125y = -0.5125

Add '-12.3' to each side of the equation.
12.3 + -12.3 + -5.125y = -0.5125 + -12.3

Combine like terms: 12.3 + -12.3 = 0.0
0.0 + -5.125y = -0.5125 + -12.3
-5.125y = -0.5125 + -12.3

Combine like terms: -0.5125 + -12.3 = -12.8125
-5.125y = -12.8125

Divide each side by '-5.125'.
y = 2.5

Simplifying
y = 2.5