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

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


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

Reorder the terms:
20(4 + y) = 4(2y + 5)
(4 * 20 + y * 20) = 4(2y + 5)
(80 + 20y) = 4(2y + 5)

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

Solving
80 + 20y = 20 + 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.
80 + 20y + -8y = 20 + 8y + -8y

Combine like terms: 20y + -8y = 12y
80 + 12y = 20 + 8y + -8y

Combine like terms: 8y + -8y = 0
80 + 12y = 20 + 0
80 + 12y = 20

Add '-80' to each side of the equation.
80 + -80 + 12y = 20 + -80

Combine like terms: 80 + -80 = 0
0 + 12y = 20 + -80
12y = 20 + -80

Combine like terms: 20 + -80 = -60
12y = -60

Divide each side by '12'.
y = -5

Simplifying
y = -5

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