20=5y+4(2y-8)

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Solution for 20=5y+4(2y-8) equation:


Simplifying
20 = 5y + 4(2y + -8)

Reorder the terms:
20 = 5y + 4(-8 + 2y)
20 = 5y + (-8 * 4 + 2y * 4)
20 = 5y + (-32 + 8y)

Reorder the terms:
20 = -32 + 5y + 8y

Combine like terms: 5y + 8y = 13y
20 = -32 + 13y

Solving
20 = -32 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
20 + -13y = -32 + 13y + -13y

Combine like terms: 13y + -13y = 0
20 + -13y = -32 + 0
20 + -13y = -32

Add '-20' to each side of the equation.
20 + -20 + -13y = -32 + -20

Combine like terms: 20 + -20 = 0
0 + -13y = -32 + -20
-13y = -32 + -20

Combine like terms: -32 + -20 = -52
-13y = -52

Divide each side by '-13'.
y = 4

Simplifying
y = 4

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