0.18(y-4)+0.10y=0.12y-0.05(40)

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Solution for 0.18(y-4)+0.10y=0.12y-0.05(40) equation: 


Simplifying
0.18(y + -4) + 0.10y = 0.12y + -0.05(40)

Reorder the terms:
0.18(-4 + y) + 0.10y = 0.12y + -0.05(40)
(-4 * 0.18 + y * 0.18) + 0.10y = 0.12y + -0.05(40)
(-0.72 + 0.18y) + 0.10y = 0.12y + -0.05(40)

Combine like terms: 0.18y + 0.10y = 0.28y
-0.72 + 0.28y = 0.12y + -0.05(40)

Multiply -0.05 * 40
-0.72 + 0.28y = 0.12y + -2

Reorder the terms:
-0.72 + 0.28y = -2 + 0.12y

Solving
-0.72 + 0.28y = -2 + 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.
-0.72 + 0.28y + -0.12y = -2 + 0.12y + -0.12y

Combine like terms: 0.28y + -0.12y = 0.16y
-0.72 + 0.16y = -2 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-0.72 + 0.16y = -2 + 0.00
-0.72 + 0.16y = -2

Add '0.72' to each side of the equation.
-0.72 + 0.72 + 0.16y = -2 + 0.72

Combine like terms: -0.72 + 0.72 = 0.00
0.00 + 0.16y = -2 + 0.72
0.16y = -2 + 0.72

Combine like terms: -2 + 0.72 = -1.28
0.16y = -1.28

Divide each side by '0.16'.
y = -8

Simplifying
y = -8

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