0.18(y-6)+0.12y=0.02y-1.5

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Solution for 0.18(y-6)+0.12y=0.02y-1.5 equation: 


Simplifying
0.18(y + -6) + 0.12y = 0.02y + -1.5

Reorder the terms:
0.18(-6 + y) + 0.12y = 0.02y + -1.5
(-6 * 0.18 + y * 0.18) + 0.12y = 0.02y + -1.5
(-1.08 + 0.18y) + 0.12y = 0.02y + -1.5

Combine like terms: 0.18y + 0.12y = 0.3y
-1.08 + 0.3y = 0.02y + -1.5

Reorder the terms:
-1.08 + 0.3y = -1.5 + 0.02y

Solving
-1.08 + 0.3y = -1.5 + 0.02y

Solving for variable 'y'.

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

Add '-0.02y' to each side of the equation.
-1.08 + 0.3y + -0.02y = -1.5 + 0.02y + -0.02y

Combine like terms: 0.3y + -0.02y = 0.28y
-1.08 + 0.28y = -1.5 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-1.08 + 0.28y = -1.5 + 0.00
-1.08 + 0.28y = -1.5

Add '1.08' to each side of the equation.
-1.08 + 1.08 + 0.28y = -1.5 + 1.08

Combine like terms: -1.08 + 1.08 = 0.00
0.00 + 0.28y = -1.5 + 1.08
0.28y = -1.5 + 1.08

Combine like terms: -1.5 + 1.08 = -0.42
0.28y = -0.42

Divide each side by '0.28'.
y = -1.5

Simplifying
y = -1.5

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