5(y+8)=3(y+20)

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Solution for 5(y+8)=3(y+20) equation: 


Simplifying
5(y + 8) = 3(y + 20)

Reorder the terms:
5(8 + y) = 3(y + 20)
(8 * 5 + y * 5) = 3(y + 20)
(40 + 5y) = 3(y + 20)

Reorder the terms:
40 + 5y = 3(20 + y)
40 + 5y = (20 * 3 + y * 3)
40 + 5y = (60 + 3y)

Solving
40 + 5y = 60 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
40 + 5y + -3y = 60 + 3y + -3y

Combine like terms: 5y + -3y = 2y
40 + 2y = 60 + 3y + -3y

Combine like terms: 3y + -3y = 0
40 + 2y = 60 + 0
40 + 2y = 60

Add '-40' to each side of the equation.
40 + -40 + 2y = 60 + -40

Combine like terms: 40 + -40 = 0
0 + 2y = 60 + -40
2y = 60 + -40

Combine like terms: 60 + -40 = 20
2y = 20

Divide each side by '2'.
y = 10

Simplifying
y = 10

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