0.16(y-6)+0.10y=0.04y-0.3

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Solution for 0.16(y-6)+0.10y=0.04y-0.3 equation: 


Simplifying
0.16(y + -6) + 0.10y = 0.04y + -0.3

Reorder the terms:
0.16(-6 + y) + 0.10y = 0.04y + -0.3
(-6 * 0.16 + y * 0.16) + 0.10y = 0.04y + -0.3
(-0.96 + 0.16y) + 0.10y = 0.04y + -0.3

Combine like terms: 0.16y + 0.10y = 0.26y
-0.96 + 0.26y = 0.04y + -0.3

Reorder the terms:
-0.96 + 0.26y = -0.3 + 0.04y

Solving
-0.96 + 0.26y = -0.3 + 0.04y

Solving for variable 'y'.

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

Add '-0.04y' to each side of the equation.
-0.96 + 0.26y + -0.04y = -0.3 + 0.04y + -0.04y

Combine like terms: 0.26y + -0.04y = 0.22y
-0.96 + 0.22y = -0.3 + 0.04y + -0.04y

Combine like terms: 0.04y + -0.04y = 0.00
-0.96 + 0.22y = -0.3 + 0.00
-0.96 + 0.22y = -0.3

Add '0.96' to each side of the equation.
-0.96 + 0.96 + 0.22y = -0.3 + 0.96

Combine like terms: -0.96 + 0.96 = 0.00
0.00 + 0.22y = -0.3 + 0.96
0.22y = -0.3 + 0.96

Combine like terms: -0.3 + 0.96 = 0.66
0.22y = 0.66

Divide each side by '0.22'.
y = 3

Simplifying
y = 3

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