0.10(y-8)+00.4y=0.18y-0.9

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Solution for 0.10(y-8)+00.4y=0.18y-0.9 equation: 


Simplifying
0.10(y + -8) + 0.4y = 0.18y + -0.9

Reorder the terms:
0.10(-8 + y) + 0.4y = 0.18y + -0.9
(-8 * 0.10 + y * 0.10) + 0.4y = 0.18y + -0.9
(-0.8 + 0.10y) + 0.4y = 0.18y + -0.9

Combine like terms: 0.10y + 0.4y = 0.5y
-0.8 + 0.5y = 0.18y + -0.9

Reorder the terms:
-0.8 + 0.5y = -0.9 + 0.18y

Solving
-0.8 + 0.5y = -0.9 + 0.18y

Solving for variable 'y'.

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

Add '-0.18y' to each side of the equation.
-0.8 + 0.5y + -0.18y = -0.9 + 0.18y + -0.18y

Combine like terms: 0.5y + -0.18y = 0.32y
-0.8 + 0.32y = -0.9 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-0.8 + 0.32y = -0.9 + 0.00
-0.8 + 0.32y = -0.9

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.32y = -0.9 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.32y = -0.9 + 0.8
0.32y = -0.9 + 0.8

Combine like terms: -0.9 + 0.8 = -0.1
0.32y = -0.1

Divide each side by '0.32'.
y = -0.3125

Simplifying
y = -0.3125

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