0.04(y-4)+0.10y=0.06y-0.9

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Solution for 0.04(y-4)+0.10y=0.06y-0.9 equation: 


Simplifying
0.04(y + -4) + 0.10y = 0.06y + -0.9

Reorder the terms:
0.04(-4 + y) + 0.10y = 0.06y + -0.9
(-4 * 0.04 + y * 0.04) + 0.10y = 0.06y + -0.9
(-0.16 + 0.04y) + 0.10y = 0.06y + -0.9

Combine like terms: 0.04y + 0.10y = 0.14y
-0.16 + 0.14y = 0.06y + -0.9

Reorder the terms:
-0.16 + 0.14y = -0.9 + 0.06y

Solving
-0.16 + 0.14y = -0.9 + 0.06y

Solving for variable 'y'.

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

Add '-0.06y' to each side of the equation.
-0.16 + 0.14y + -0.06y = -0.9 + 0.06y + -0.06y

Combine like terms: 0.14y + -0.06y = 0.08y
-0.16 + 0.08y = -0.9 + 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-0.16 + 0.08y = -0.9 + 0.00
-0.16 + 0.08y = -0.9

Add '0.16' to each side of the equation.
-0.16 + 0.16 + 0.08y = -0.9 + 0.16

Combine like terms: -0.16 + 0.16 = 0.00
0.00 + 0.08y = -0.9 + 0.16
0.08y = -0.9 + 0.16

Combine like terms: -0.9 + 0.16 = -0.74
0.08y = -0.74

Divide each side by '0.08'.
y = -9.25

Simplifying
y = -9.25

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