2.1y+45.2=3.2-8.4y

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Solution for 2.1y+45.2=3.2-8.4y equation: 


Simplifying
2.1y + 45.2 = 3.2 + -8.4y

Reorder the terms:
45.2 + 2.1y = 3.2 + -8.4y

Solving
45.2 + 2.1y = 3.2 + -8.4y

Solving for variable 'y'.

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

Add '8.4y' to each side of the equation.
45.2 + 2.1y + 8.4y = 3.2 + -8.4y + 8.4y

Combine like terms: 2.1y + 8.4y = 10.5y
45.2 + 10.5y = 3.2 + -8.4y + 8.4y

Combine like terms: -8.4y + 8.4y = 0.0
45.2 + 10.5y = 3.2 + 0.0
45.2 + 10.5y = 3.2

Add '-45.2' to each side of the equation.
45.2 + -45.2 + 10.5y = 3.2 + -45.2

Combine like terms: 45.2 + -45.2 = 0.0
0.0 + 10.5y = 3.2 + -45.2
10.5y = 3.2 + -45.2

Combine like terms: 3.2 + -45.2 = -42
10.5y = -42

Divide each side by '10.5'.
y = -4

Simplifying
y = -4

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