20(y+3)=4(3y+5)

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Solution for 20(y+3)=4(3y+5) equation:


Simplifying
20(y + 3) = 4(3y + 5)

Reorder the terms:
20(3 + y) = 4(3y + 5)
(3 * 20 + y * 20) = 4(3y + 5)
(60 + 20y) = 4(3y + 5)

Reorder the terms:
60 + 20y = 4(5 + 3y)
60 + 20y = (5 * 4 + 3y * 4)
60 + 20y = (20 + 12y)

Solving
60 + 20y = 20 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
60 + 20y + -12y = 20 + 12y + -12y

Combine like terms: 20y + -12y = 8y
60 + 8y = 20 + 12y + -12y

Combine like terms: 12y + -12y = 0
60 + 8y = 20 + 0
60 + 8y = 20

Add '-60' to each side of the equation.
60 + -60 + 8y = 20 + -60

Combine like terms: 60 + -60 = 0
0 + 8y = 20 + -60
8y = 20 + -60

Combine like terms: 20 + -60 = -40
8y = -40

Divide each side by '8'.
y = -5

Simplifying
y = -5

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