0.125(5y+64)=0.25(20+2y)

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Solution for 0.125(5y+64)=0.25(20+2y) equation: 


Simplifying
0.125(5y + 64) = 0.25(20 + 2y)

Reorder the terms:
0.125(64 + 5y) = 0.25(20 + 2y)
(64 * 0.125 + 5y * 0.125) = 0.25(20 + 2y)
(8 + 0.625y) = 0.25(20 + 2y)
8 + 0.625y = (20 * 0.25 + 2y * 0.25)
8 + 0.625y = (5 + 0.5y)

Solving
8 + 0.625y = 5 + 0.5y

Solving for variable 'y'.

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

Add '-0.5y' to each side of the equation.
8 + 0.625y + -0.5y = 5 + 0.5y + -0.5y

Combine like terms: 0.625y + -0.5y = 0.125y
8 + 0.125y = 5 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
8 + 0.125y = 5 + 0.0
8 + 0.125y = 5

Add '-8' to each side of the equation.
8 + -8 + 0.125y = 5 + -8

Combine like terms: 8 + -8 = 0
0 + 0.125y = 5 + -8
0.125y = 5 + -8

Combine like terms: 5 + -8 = -3
0.125y = -3

Divide each side by '0.125'.
y = -24

Simplifying
y = -24

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