0.6(40-y)-0.2y=10

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Solution for 0.6(40-y)-0.2y=10 equation: 


Simplifying
0.6(40 + -1y) + -0.2y = 10
(40 * 0.6 + -1y * 0.6) + -0.2y = 10
(24 + -0.6y) + -0.2y = 10

Combine like terms: -0.6y + -0.2y = -0.8y
24 + -0.8y = 10

Solving
24 + -0.8y = 10

Solving for variable 'y'.

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

Add '-24' to each side of the equation.
24 + -24 + -0.8y = 10 + -24

Combine like terms: 24 + -24 = 0
0 + -0.8y = 10 + -24
-0.8y = 10 + -24

Combine like terms: 10 + -24 = -14
-0.8y = -14

Divide each side by '-0.8'.
y = 17.5

Simplifying
y = 17.5

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