0.02(6y-3)=0.04(y-2)+0.02

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Solution for 0.02(6y-3)=0.04(y-2)+0.02 equation: 


Simplifying
0.02(6y + -3) = 0.04(y + -2) + 0.02

Reorder the terms:
0.02(-3 + 6y) = 0.04(y + -2) + 0.02
(-3 * 0.02 + 6y * 0.02) = 0.04(y + -2) + 0.02
(-0.06 + 0.12y) = 0.04(y + -2) + 0.02

Reorder the terms:
-0.06 + 0.12y = 0.04(-2 + y) + 0.02
-0.06 + 0.12y = (-2 * 0.04 + y * 0.04) + 0.02
-0.06 + 0.12y = (-0.08 + 0.04y) + 0.02

Reorder the terms:
-0.06 + 0.12y = -0.08 + 0.02 + 0.04y

Combine like terms: -0.08 + 0.02 = -0.06
-0.06 + 0.12y = -0.06 + 0.04y

Add '0.06' to each side of the equation.
-0.06 + 0.06 + 0.12y = -0.06 + 0.06 + 0.04y

Combine like terms: -0.06 + 0.06 = 0.00
0.00 + 0.12y = -0.06 + 0.06 + 0.04y
0.12y = -0.06 + 0.06 + 0.04y

Combine like terms: -0.06 + 0.06 = 0.00
0.12y = 0.00 + 0.04y
0.12y = 0.04y

Solving
0.12y = 0.04y

Solving for variable 'y'.

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

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

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

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

Divide each side by '0.08'.
y = 0

Simplifying
y = 0

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