0.18(y-1)+0.02y=0.12y-0.5

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Solution for 0.18(y-1)+0.02y=0.12y-0.5 equation: 


Simplifying
0.18(y + -1) + 0.02y = 0.12y + -0.5

Reorder the terms:
0.18(-1 + y) + 0.02y = 0.12y + -0.5
(-1 * 0.18 + y * 0.18) + 0.02y = 0.12y + -0.5
(-0.18 + 0.18y) + 0.02y = 0.12y + -0.5

Combine like terms: 0.18y + 0.02y = 0.2y
-0.18 + 0.2y = 0.12y + -0.5

Reorder the terms:
-0.18 + 0.2y = -0.5 + 0.12y

Solving
-0.18 + 0.2y = -0.5 + 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 + 0.2y + -0.12y = -0.5 + 0.12y + -0.12y

Combine like terms: 0.2y + -0.12y = 0.08y
-0.18 + 0.08y = -0.5 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-0.18 + 0.08y = -0.5 + 0.00
-0.18 + 0.08y = -0.5

Add '0.18' to each side of the equation.
-0.18 + 0.18 + 0.08y = -0.5 + 0.18

Combine like terms: -0.18 + 0.18 = 0.00
0.00 + 0.08y = -0.5 + 0.18
0.08y = -0.5 + 0.18

Combine like terms: -0.5 + 0.18 = -0.32
0.08y = -0.32

Divide each side by '0.08'.
y = -4

Simplifying
y = -4

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