0.16(y-1)+0.02y=0.10y-0.4

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Solution for 0.16(y-1)+0.02y=0.10y-0.4 equation: 


Simplifying
0.16(y + -1) + 0.02y = 0.10y + -0.4

Reorder the terms:
0.16(-1 + y) + 0.02y = 0.10y + -0.4
(-1 * 0.16 + y * 0.16) + 0.02y = 0.10y + -0.4
(-0.16 + 0.16y) + 0.02y = 0.10y + -0.4

Combine like terms: 0.16y + 0.02y = 0.18y
-0.16 + 0.18y = 0.10y + -0.4

Reorder the terms:
-0.16 + 0.18y = -0.4 + 0.10y

Solving
-0.16 + 0.18y = -0.4 + 0.10y

Solving for variable 'y'.

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

Add '-0.10y' to each side of the equation.
-0.16 + 0.18y + -0.10y = -0.4 + 0.10y + -0.10y

Combine like terms: 0.18y + -0.10y = 0.08y
-0.16 + 0.08y = -0.4 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.16 + 0.08y = -0.4 + 0.00
-0.16 + 0.08y = -0.4

Add '0.16' to each side of the equation.
-0.16 + 0.16 + 0.08y = -0.4 + 0.16

Combine like terms: -0.16 + 0.16 = 0.00
0.00 + 0.08y = -0.4 + 0.16
0.08y = -0.4 + 0.16

Combine like terms: -0.4 + 0.16 = -0.24
0.08y = -0.24

Divide each side by '0.08'.
y = -3

Simplifying
y = -3

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