.5(y-.2)=.125(y+5)

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Solution for .5(y-.2)=.125(y+5) equation:


Simplifying
0.5(y + -0.2) = 0.125(y + 5)

Reorder the terms:
0.5(-0.2 + y) = 0.125(y + 5)
(-0.2 * 0.5 + y * 0.5) = 0.125(y + 5)
(-0.1 + 0.5y) = 0.125(y + 5)

Reorder the terms:
-0.1 + 0.5y = 0.125(5 + y)
-0.1 + 0.5y = (5 * 0.125 + y * 0.125)
-0.1 + 0.5y = (0.625 + 0.125y)

Solving
-0.1 + 0.5y = 0.625 + 0.125y

Solving for variable 'y'.

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

Add '-0.125y' to each side of the equation.
-0.1 + 0.5y + -0.125y = 0.625 + 0.125y + -0.125y

Combine like terms: 0.5y + -0.125y = 0.375y
-0.1 + 0.375y = 0.625 + 0.125y + -0.125y

Combine like terms: 0.125y + -0.125y = 0.000
-0.1 + 0.375y = 0.625 + 0.000
-0.1 + 0.375y = 0.625

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 0.375y = 0.625 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 0.375y = 0.625 + 0.1
0.375y = 0.625 + 0.1

Combine like terms: 0.625 + 0.1 = 0.725
0.375y = 0.725

Divide each side by '0.375'.
y = 1.933333333

Simplifying
y = 1.933333333

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