.02(3-2y)=.12y-55.14

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Solution for .02(3-2y)=.12y-55.14 equation: 


Simplifying
0.02(3 + -2y) = 0.12y + -55.14
(3 * 0.02 + -2y * 0.02) = 0.12y + -55.14
(0.06 + -0.04y) = 0.12y + -55.14

Reorder the terms:
0.06 + -0.04y = -55.14 + 0.12y

Solving
0.06 + -0.04y = -55.14 + 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.
0.06 + -0.04y + -0.12y = -55.14 + 0.12y + -0.12y

Combine like terms: -0.04y + -0.12y = -0.16y
0.06 + -0.16y = -55.14 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
0.06 + -0.16y = -55.14 + 0.00
0.06 + -0.16y = -55.14

Add '-0.06' to each side of the equation.
0.06 + -0.06 + -0.16y = -55.14 + -0.06

Combine like terms: 0.06 + -0.06 = 0.00
0.00 + -0.16y = -55.14 + -0.06
-0.16y = -55.14 + -0.06

Combine like terms: -55.14 + -0.06 = -55.2
-0.16y = -55.2

Divide each side by '-0.16'.
y = 345

Simplifying
y = 345

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