0.18(y-6)+0.12y=0.04y-0.03(10)

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Solution for 0.18(y-6)+0.12y=0.04y-0.03(10) equation: 


Simplifying
0.18(y + -6) + 0.12y = 0.04y + -0.03(10)

Reorder the terms:
0.18(-6 + y) + 0.12y = 0.04y + -0.03(10)
(-6 * 0.18 + y * 0.18) + 0.12y = 0.04y + -0.03(10)
(-1.08 + 0.18y) + 0.12y = 0.04y + -0.03(10)

Combine like terms: 0.18y + 0.12y = 0.3y
-1.08 + 0.3y = 0.04y + -0.03(10)

Multiply -0.03 * 10
-1.08 + 0.3y = 0.04y + -0.3

Reorder the terms:
-1.08 + 0.3y = -0.3 + 0.04y

Solving
-1.08 + 0.3y = -0.3 + 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.
-1.08 + 0.3y + -0.04y = -0.3 + 0.04y + -0.04y

Combine like terms: 0.3y + -0.04y = 0.26y
-1.08 + 0.26y = -0.3 + 0.04y + -0.04y

Combine like terms: 0.04y + -0.04y = 0.00
-1.08 + 0.26y = -0.3 + 0.00
-1.08 + 0.26y = -0.3

Add '1.08' to each side of the equation.
-1.08 + 1.08 + 0.26y = -0.3 + 1.08

Combine like terms: -1.08 + 1.08 = 0.00
0.00 + 0.26y = -0.3 + 1.08
0.26y = -0.3 + 1.08

Combine like terms: -0.3 + 1.08 = 0.78
0.26y = 0.78

Divide each side by '0.26'.
y = 3

Simplifying
y = 3

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