100(0.42-0.03y)=(3.33-y)100

Solution for 100(0.42-0.03y)=(3.33-y)100 equation:

Simplifying
100(0.42 + -0.03y) = (3.33 + -1y) * 100
(0.42 * 100 + -0.03y * 100) = (3.33 + -1y) * 100
(42 + -3y) = (3.33 + -1y) * 100

Reorder the terms for easier multiplication:
42 + -3y = 100(3.33 + -1y)
42 + -3y = (3.33 * 100 + -1y * 100)
42 + -3y = (333 + -100y)

Solving
42 + -3y = 333 + -100y

Solving for variable 'y'.

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

Add '100y' to each side of the equation.
42 + -3y + 100y = 333 + -100y + 100y

Combine like terms: -3y + 100y = 97y
42 + 97y = 333 + -100y + 100y

Combine like terms: -100y + 100y = 0
42 + 97y = 333 + 0
42 + 97y = 333

Add '-42' to each side of the equation.
42 + -42 + 97y = 333 + -42

Combine like terms: 42 + -42 = 0
0 + 97y = 333 + -42
97y = 333 + -42

Combine like terms: 333 + -42 = 291
97y = 291

Divide each side by '97'.
y = 3

Simplifying
y = 3