.2(y-40)=.1-y

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Solution for .2(y-40)=.1-y equation: 


Simplifying
0.2(y + -40) = 0.1 + -1y

Reorder the terms:
0.2(-40 + y) = 0.1 + -1y
(-40 * 0.2 + y * 0.2) = 0.1 + -1y
(-8 + 0.2y) = 0.1 + -1y

Solving
-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.
-8 + 0.2y + y = 0.1 + -1y + y

Combine like terms: 0.2y + y = 1.2y
-8 + 1.2y = 0.1 + -1y + y

Combine like terms: -1y + y = 0
-8 + 1.2y = 0.1 + 0
-8 + 1.2y = 0.1

Add '8' to each side of the equation.
-8 + 8 + 1.2y = 0.1 + 8

Combine like terms: -8 + 8 = 0
0 + 1.2y = 0.1 + 8
1.2y = 0.1 + 8

Combine like terms: 0.1 + 8 = 8.1
1.2y = 8.1

Divide each side by '1.2'.
y = 6.75

Simplifying
y = 6.75

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