0.10(y-5)+0.02y=0.20y-0.3

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Solution for 0.10(y-5)+0.02y=0.20y-0.3 equation: 


Simplifying
0.10(y + -5) + 0.02y = 0.20y + -0.3

Reorder the terms:
0.10(-5 + y) + 0.02y = 0.20y + -0.3
(-5 * 0.10 + y * 0.10) + 0.02y = 0.20y + -0.3
(-0.5 + 0.10y) + 0.02y = 0.20y + -0.3

Combine like terms: 0.10y + 0.02y = 0.12y
-0.5 + 0.12y = 0.20y + -0.3

Reorder the terms:
-0.5 + 0.12y = -0.3 + 0.20y

Solving
-0.5 + 0.12y = -0.3 + 0.20y

Solving for variable 'y'.

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

Add '-0.20y' to each side of the equation.
-0.5 + 0.12y + -0.20y = -0.3 + 0.20y + -0.20y

Combine like terms: 0.12y + -0.20y = -0.08y
-0.5 + -0.08y = -0.3 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.5 + -0.08y = -0.3 + 0.00
-0.5 + -0.08y = -0.3

Add '0.5' to each side of the equation.
-0.5 + 0.5 + -0.08y = -0.3 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + -0.08y = -0.3 + 0.5
-0.08y = -0.3 + 0.5

Combine like terms: -0.3 + 0.5 = 0.2
-0.08y = 0.2

Divide each side by '-0.08'.
y = -2.5

Simplifying
y = -2.5

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