0.08(y-2)+0.10y=0.14y-0.4

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Solution for 0.08(y-2)+0.10y=0.14y-0.4 equation: 


Simplifying
0.08(y + -2) + 0.10y = 0.14y + -0.4

Reorder the terms:
0.08(-2 + y) + 0.10y = 0.14y + -0.4
(-2 * 0.08 + y * 0.08) + 0.10y = 0.14y + -0.4
(-0.16 + 0.08y) + 0.10y = 0.14y + -0.4

Combine like terms: 0.08y + 0.10y = 0.18y
-0.16 + 0.18y = 0.14y + -0.4

Reorder the terms:
-0.16 + 0.18y = -0.4 + 0.14y

Solving
-0.16 + 0.18y = -0.4 + 0.14y

Solving for variable 'y'.

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

Add '-0.14y' to each side of the equation.
-0.16 + 0.18y + -0.14y = -0.4 + 0.14y + -0.14y

Combine like terms: 0.18y + -0.14y = 0.04y
-0.16 + 0.04y = -0.4 + 0.14y + -0.14y

Combine like terms: 0.14y + -0.14y = 0.00
-0.16 + 0.04y = -0.4 + 0.00
-0.16 + 0.04y = -0.4

Add '0.16' to each side of the equation.
-0.16 + 0.16 + 0.04y = -0.4 + 0.16

Combine like terms: -0.16 + 0.16 = 0.00
0.00 + 0.04y = -0.4 + 0.16
0.04y = -0.4 + 0.16

Combine like terms: -0.4 + 0.16 = -0.24
0.04y = -0.24

Divide each side by '0.04'.
y = -6

Simplifying
y = -6

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