.13(5y+64)=.25(20+2y)

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Solution for .13(5y+64)=.25(20+2y) equation: 


Simplifying
0.13(5y + 64) = 0.25(20 + 2y)

Reorder the terms:
0.13(64 + 5y) = 0.25(20 + 2y)
(64 * 0.13 + 5y * 0.13) = 0.25(20 + 2y)
(8.32 + 0.65y) = 0.25(20 + 2y)
8.32 + 0.65y = (20 * 0.25 + 2y * 0.25)
8.32 + 0.65y = (5 + 0.5y)

Solving
8.32 + 0.65y = 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.
8.32 + 0.65y + -0.5y = 5 + 0.5y + -0.5y

Combine like terms: 0.65y + -0.5y = 0.15y
8.32 + 0.15y = 5 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
8.32 + 0.15y = 5 + 0.0
8.32 + 0.15y = 5

Add '-8.32' to each side of the equation.
8.32 + -8.32 + 0.15y = 5 + -8.32

Combine like terms: 8.32 + -8.32 = 0.00
0.00 + 0.15y = 5 + -8.32
0.15y = 5 + -8.32

Combine like terms: 5 + -8.32 = -3.32
0.15y = -3.32

Divide each side by '0.15'.
y = -22.13333333

Simplifying
y = -22.13333333

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