0.06(y-3)+0.10y=0.12y-0.2

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Solution for 0.06(y-3)+0.10y=0.12y-0.2 equation: 


Simplifying
0.06(y + -3) + 0.10y = 0.12y + -0.2

Reorder the terms:
0.06(-3 + y) + 0.10y = 0.12y + -0.2
(-3 * 0.06 + y * 0.06) + 0.10y = 0.12y + -0.2
(-0.18 + 0.06y) + 0.10y = 0.12y + -0.2

Combine like terms: 0.06y + 0.10y = 0.16y
-0.18 + 0.16y = 0.12y + -0.2

Reorder the terms:
-0.18 + 0.16y = -0.2 + 0.12y

Solving
-0.18 + 0.16y = -0.2 + 0.12y

Solving for variable 'y'.

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

Add '-0.12y' to each side of the equation.
-0.18 + 0.16y + -0.12y = -0.2 + 0.12y + -0.12y

Combine like terms: 0.16y + -0.12y = 0.04y
-0.18 + 0.04y = -0.2 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-0.18 + 0.04y = -0.2 + 0.00
-0.18 + 0.04y = -0.2

Add '0.18' to each side of the equation.
-0.18 + 0.18 + 0.04y = -0.2 + 0.18

Combine like terms: -0.18 + 0.18 = 0.00
0.00 + 0.04y = -0.2 + 0.18
0.04y = -0.2 + 0.18

Combine like terms: -0.2 + 0.18 = -0.02
0.04y = -0.02

Divide each side by '0.04'.
y = -0.5

Simplifying
y = -0.5

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