0.08(y-1)+0.18=0.10y-0.2

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Solution for 0.08(y-1)+0.18=0.10y-0.2 equation: 


Simplifying
0.08(y + -1) + 0.18 = 0.10y + -0.2

Reorder the terms:
0.08(-1 + y) + 0.18 = 0.10y + -0.2
(-1 * 0.08 + y * 0.08) + 0.18 = 0.10y + -0.2
(-0.08 + 0.08y) + 0.18 = 0.10y + -0.2

Reorder the terms:
-0.08 + 0.18 + 0.08y = 0.10y + -0.2

Combine like terms: -0.08 + 0.18 = 0.1
0.1 + 0.08y = 0.10y + -0.2

Reorder the terms:
0.1 + 0.08y = -0.2 + 0.10y

Solving
0.1 + 0.08y = -0.2 + 0.10y

Solving for variable 'y'.

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

Add '-0.10y' to each side of the equation.
0.1 + 0.08y + -0.10y = -0.2 + 0.10y + -0.10y

Combine like terms: 0.08y + -0.10y = -0.02y
0.1 + -0.02y = -0.2 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
0.1 + -0.02y = -0.2 + 0.00
0.1 + -0.02y = -0.2

Add '-0.1' to each side of the equation.
0.1 + -0.1 + -0.02y = -0.2 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -0.02y = -0.2 + -0.1
-0.02y = -0.2 + -0.1

Combine like terms: -0.2 + -0.1 = -0.3
-0.02y = -0.3

Divide each side by '-0.02'.
y = 15

Simplifying
y = 15

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