0.02(y-2)+0.10y=0.08y-0.3

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Solution for 0.02(y-2)+0.10y=0.08y-0.3 equation: 


Simplifying
0.02(y + -2) + 0.10y = 0.08y + -0.3

Reorder the terms:
0.02(-2 + y) + 0.10y = 0.08y + -0.3
(-2 * 0.02 + y * 0.02) + 0.10y = 0.08y + -0.3
(-0.04 + 0.02y) + 0.10y = 0.08y + -0.3

Combine like terms: 0.02y + 0.10y = 0.12y
-0.04 + 0.12y = 0.08y + -0.3

Reorder the terms:
-0.04 + 0.12y = -0.3 + 0.08y

Solving
-0.04 + 0.12y = -0.3 + 0.08y

Solving for variable 'y'.

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

Add '-0.08y' to each side of the equation.
-0.04 + 0.12y + -0.08y = -0.3 + 0.08y + -0.08y

Combine like terms: 0.12y + -0.08y = 0.04y
-0.04 + 0.04y = -0.3 + 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 0.00
-0.04 + 0.04y = -0.3 + 0.00
-0.04 + 0.04y = -0.3

Add '0.04' to each side of the equation.
-0.04 + 0.04 + 0.04y = -0.3 + 0.04

Combine like terms: -0.04 + 0.04 = 0.00
0.00 + 0.04y = -0.3 + 0.04
0.04y = -0.3 + 0.04

Combine like terms: -0.3 + 0.04 = -0.26
0.04y = -0.26

Divide each side by '0.04'.
y = -6.5

Simplifying
y = -6.5

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