2.1y+45.2=3.2-8.2y

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Solution for 2.1y+45.2=3.2-8.2y equation: 


Simplifying
2.1y + 45.2 = 3.2 + -8.2y

Reorder the terms:
45.2 + 2.1y = 3.2 + -8.2y

Solving
45.2 + 2.1y = 3.2 + -8.2y

Solving for variable 'y'.

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

Add '8.2y' to each side of the equation.
45.2 + 2.1y + 8.2y = 3.2 + -8.2y + 8.2y

Combine like terms: 2.1y + 8.2y = 10.3y
45.2 + 10.3y = 3.2 + -8.2y + 8.2y

Combine like terms: -8.2y + 8.2y = 0.0
45.2 + 10.3y = 3.2 + 0.0
45.2 + 10.3y = 3.2

Add '-45.2' to each side of the equation.
45.2 + -45.2 + 10.3y = 3.2 + -45.2

Combine like terms: 45.2 + -45.2 = 0.0
0.0 + 10.3y = 3.2 + -45.2
10.3y = 3.2 + -45.2

Combine like terms: 3.2 + -45.2 = -42
10.3y = -42

Divide each side by '10.3'.
y = -4.077669903

Simplifying
y = -4.077669903

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