0.125(5y+64)=0.1(20+2y)

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Solution for 0.125(5y+64)=0.1(20+2y) equation:


Simplifying
0.125(5y + 64) = 0.1(20 + 2y)

Reorder the terms:
0.125(64 + 5y) = 0.1(20 + 2y)
(64 * 0.125 + 5y * 0.125) = 0.1(20 + 2y)
(8 + 0.625y) = 0.1(20 + 2y)
8 + 0.625y = (20 * 0.1 + 2y * 0.1)
8 + 0.625y = (2 + 0.2y)

Solving
8 + 0.625y = 2 + 0.2y

Solving for variable 'y'.

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

Add '-0.2y' to each side of the equation.
8 + 0.625y + -0.2y = 2 + 0.2y + -0.2y

Combine like terms: 0.625y + -0.2y = 0.425y
8 + 0.425y = 2 + 0.2y + -0.2y

Combine like terms: 0.2y + -0.2y = 0.0
8 + 0.425y = 2 + 0.0
8 + 0.425y = 2

Add '-8' to each side of the equation.
8 + -8 + 0.425y = 2 + -8

Combine like terms: 8 + -8 = 0
0 + 0.425y = 2 + -8
0.425y = 2 + -8

Combine like terms: 2 + -8 = -6
0.425y = -6

Divide each side by '0.425'.
y = -14.11764706

Simplifying
y = -14.11764706

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