0.16(y-6)+0.06y=0.14y-0.4

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Solution for 0.16(y-6)+0.06y=0.14y-0.4 equation: 


Simplifying
0.16(y + -6) + 0.06y = 0.14y + -0.4

Reorder the terms:
0.16(-6 + y) + 0.06y = 0.14y + -0.4
(-6 * 0.16 + y * 0.16) + 0.06y = 0.14y + -0.4
(-0.96 + 0.16y) + 0.06y = 0.14y + -0.4

Combine like terms: 0.16y + 0.06y = 0.22y
-0.96 + 0.22y = 0.14y + -0.4

Reorder the terms:
-0.96 + 0.22y = -0.4 + 0.14y

Solving
-0.96 + 0.22y = -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.
-0.96 + 0.22y + -0.14y = -0.4 + 0.14y + -0.14y

Combine like terms: 0.22y + -0.14y = 0.08y
-0.96 + 0.08y = -0.4 + 0.14y + -0.14y

Combine like terms: 0.14y + -0.14y = 0.00
-0.96 + 0.08y = -0.4 + 0.00
-0.96 + 0.08y = -0.4

Add '0.96' to each side of the equation.
-0.96 + 0.96 + 0.08y = -0.4 + 0.96

Combine like terms: -0.96 + 0.96 = 0.00
0.00 + 0.08y = -0.4 + 0.96
0.08y = -0.4 + 0.96

Combine like terms: -0.4 + 0.96 = 0.56
0.08y = 0.56

Divide each side by '0.08'.
y = 7

Simplifying
y = 7

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