0.5(y-20)+0.06y=0.01y-0.05

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Solution for 0.5(y-20)+0.06y=0.01y-0.05 equation: 


Simplifying
0.5(y + -20) + 0.06y = 0.01y + -0.05

Reorder the terms:
0.5(-20 + y) + 0.06y = 0.01y + -0.05
(-20 * 0.5 + y * 0.5) + 0.06y = 0.01y + -0.05
(-10 + 0.5y) + 0.06y = 0.01y + -0.05

Combine like terms: 0.5y + 0.06y = 0.56y
-10 + 0.56y = 0.01y + -0.05

Reorder the terms:
-10 + 0.56y = -0.05 + 0.01y

Solving
-10 + 0.56y = -0.05 + 0.01y

Solving for variable 'y'.

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

Add '-0.01y' to each side of the equation.
-10 + 0.56y + -0.01y = -0.05 + 0.01y + -0.01y

Combine like terms: 0.56y + -0.01y = 0.55y
-10 + 0.55y = -0.05 + 0.01y + -0.01y

Combine like terms: 0.01y + -0.01y = 0.00
-10 + 0.55y = -0.05 + 0.00
-10 + 0.55y = -0.05

Add '10' to each side of the equation.
-10 + 10 + 0.55y = -0.05 + 10

Combine like terms: -10 + 10 = 0
0 + 0.55y = -0.05 + 10
0.55y = -0.05 + 10

Combine like terms: -0.05 + 10 = 9.95
0.55y = 9.95

Divide each side by '0.55'.
y = 18.09090909

Simplifying
y = 18.09090909

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