0.10(y-8)+0.04y=0.06y-0.03(20)

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Solution for 0.10(y-8)+0.04y=0.06y-0.03(20) equation: 


Simplifying
0.10(y + -8) + 0.04y = 0.06y + -0.03(20)

Reorder the terms:
0.10(-8 + y) + 0.04y = 0.06y + -0.03(20)
(-8 * 0.10 + y * 0.10) + 0.04y = 0.06y + -0.03(20)
(-0.8 + 0.10y) + 0.04y = 0.06y + -0.03(20)

Combine like terms: 0.10y + 0.04y = 0.14y
-0.8 + 0.14y = 0.06y + -0.03(20)

Multiply -0.03 * 20
-0.8 + 0.14y = 0.06y + -0.6

Reorder the terms:
-0.8 + 0.14y = -0.6 + 0.06y

Solving
-0.8 + 0.14y = -0.6 + 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.
-0.8 + 0.14y + -0.06y = -0.6 + 0.06y + -0.06y

Combine like terms: 0.14y + -0.06y = 0.08y
-0.8 + 0.08y = -0.6 + 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-0.8 + 0.08y = -0.6 + 0.00
-0.8 + 0.08y = -0.6

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.08y = -0.6 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.08y = -0.6 + 0.8
0.08y = -0.6 + 0.8

Combine like terms: -0.6 + 0.8 = 0.2
0.08y = 0.2

Divide each side by '0.08'.
y = 2.5

Simplifying
y = 2.5

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