0.18(y-3)+0.02y=0.10y-0.5

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Solution for 0.18(y-3)+0.02y=0.10y-0.5 equation: 


Simplifying
0.18(y + -3) + 0.02y = 0.10y + -0.5

Reorder the terms:
0.18(-3 + y) + 0.02y = 0.10y + -0.5
(-3 * 0.18 + y * 0.18) + 0.02y = 0.10y + -0.5
(-0.54 + 0.18y) + 0.02y = 0.10y + -0.5

Combine like terms: 0.18y + 0.02y = 0.2y
-0.54 + 0.2y = 0.10y + -0.5

Reorder the terms:
-0.54 + 0.2y = -0.5 + 0.10y

Solving
-0.54 + 0.2y = -0.5 + 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.
-0.54 + 0.2y + -0.10y = -0.5 + 0.10y + -0.10y

Combine like terms: 0.2y + -0.10y = 0.1y
-0.54 + 0.1y = -0.5 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.54 + 0.1y = -0.5 + 0.00
-0.54 + 0.1y = -0.5

Add '0.54' to each side of the equation.
-0.54 + 0.54 + 0.1y = -0.5 + 0.54

Combine like terms: -0.54 + 0.54 = 0.00
0.00 + 0.1y = -0.5 + 0.54
0.1y = -0.5 + 0.54

Combine like terms: -0.5 + 0.54 = 0.04
0.1y = 0.04

Divide each side by '0.1'.
y = 0.4

Simplifying
y = 0.4

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