.2(10-y)+.1y=.13

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Solution for .2(10-y)+.1y=.13 equation:


Simplifying
0.2(10 + -1y) + 0.1y = 0.13
(10 * 0.2 + -1y * 0.2) + 0.1y = 0.13
(2 + -0.2y) + 0.1y = 0.13

Combine like terms: -0.2y + 0.1y = -0.1y
2 + -0.1y = 0.13

Solving
2 + -0.1y = 0.13

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + -0.1y = 0.13 + -2

Combine like terms: 2 + -2 = 0
0 + -0.1y = 0.13 + -2
-0.1y = 0.13 + -2

Combine like terms: 0.13 + -2 = -1.87
-0.1y = -1.87

Divide each side by '-0.1'.
y = 18.7

Simplifying
y = 18.7

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