8(5y+64)=4(20+2y)

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Solution for 8(5y+64)=4(20+2y) equation:


Simplifying
8(5y + 64) = 4(20 + 2y)

Reorder the terms:
8(64 + 5y) = 4(20 + 2y)
(64 * 8 + 5y * 8) = 4(20 + 2y)
(512 + 40y) = 4(20 + 2y)
512 + 40y = (20 * 4 + 2y * 4)
512 + 40y = (80 + 8y)

Solving
512 + 40y = 80 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
512 + 40y + -8y = 80 + 8y + -8y

Combine like terms: 40y + -8y = 32y
512 + 32y = 80 + 8y + -8y

Combine like terms: 8y + -8y = 0
512 + 32y = 80 + 0
512 + 32y = 80

Add '-512' to each side of the equation.
512 + -512 + 32y = 80 + -512

Combine like terms: 512 + -512 = 0
0 + 32y = 80 + -512
32y = 80 + -512

Combine like terms: 80 + -512 = -432
32y = -432

Divide each side by '32'.
y = -13.5

Simplifying
y = -13.5

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