20(y+3)=5(2y+4)

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Solution for 20(y+3)=5(2y+4) equation:


Simplifying
20(y + 3) = 5(2y + 4)

Reorder the terms:
20(3 + y) = 5(2y + 4)
(3 * 20 + y * 20) = 5(2y + 4)
(60 + 20y) = 5(2y + 4)

Reorder the terms:
60 + 20y = 5(4 + 2y)
60 + 20y = (4 * 5 + 2y * 5)
60 + 20y = (20 + 10y)

Solving
60 + 20y = 20 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
60 + 20y + -10y = 20 + 10y + -10y

Combine like terms: 20y + -10y = 10y
60 + 10y = 20 + 10y + -10y

Combine like terms: 10y + -10y = 0
60 + 10y = 20 + 0
60 + 10y = 20

Add '-60' to each side of the equation.
60 + -60 + 10y = 20 + -60

Combine like terms: 60 + -60 = 0
0 + 10y = 20 + -60
10y = 20 + -60

Combine like terms: 20 + -60 = -40
10y = -40

Divide each side by '10'.
y = -4

Simplifying
y = -4

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