.2(y-19)=.1-y

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Solution for .2(y-19)=.1-y equation: 


Simplifying
0.2(y + -19) = 0.1 + -1y

Reorder the terms:
0.2(-19 + y) = 0.1 + -1y
(-19 * 0.2 + y * 0.2) = 0.1 + -1y
(-3.8 + 0.2y) = 0.1 + -1y

Solving
-3.8 + 0.2y = 0.1 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-3.8 + 0.2y + y = 0.1 + -1y + y

Combine like terms: 0.2y + y = 1.2y
-3.8 + 1.2y = 0.1 + -1y + y

Combine like terms: -1y + y = 0
-3.8 + 1.2y = 0.1 + 0
-3.8 + 1.2y = 0.1

Add '3.8' to each side of the equation.
-3.8 + 3.8 + 1.2y = 0.1 + 3.8

Combine like terms: -3.8 + 3.8 = 0.0
0.0 + 1.2y = 0.1 + 3.8
1.2y = 0.1 + 3.8

Combine like terms: 0.1 + 3.8 = 3.9
1.2y = 3.9

Divide each side by '1.2'.
y = 3.25

Simplifying
y = 3.25

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