5y-8+y+24=6y+20-2y

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Solution for 5y-8+y+24=6y+20-2y equation: 


Simplifying
5y + -8 + y + 24 = 6y + 20 + -2y

Reorder the terms:
-8 + 24 + 5y + y = 6y + 20 + -2y

Combine like terms: -8 + 24 = 16
16 + 5y + y = 6y + 20 + -2y

Combine like terms: 5y + y = 6y
16 + 6y = 6y + 20 + -2y

Reorder the terms:
16 + 6y = 20 + 6y + -2y

Combine like terms: 6y + -2y = 4y
16 + 6y = 20 + 4y

Solving
16 + 6y = 20 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
16 + 6y + -4y = 20 + 4y + -4y

Combine like terms: 6y + -4y = 2y
16 + 2y = 20 + 4y + -4y

Combine like terms: 4y + -4y = 0
16 + 2y = 20 + 0
16 + 2y = 20

Add '-16' to each side of the equation.
16 + -16 + 2y = 20 + -16

Combine like terms: 16 + -16 = 0
0 + 2y = 20 + -16
2y = 20 + -16

Combine like terms: 20 + -16 = 4
2y = 4

Divide each side by '2'.
y = 2

Simplifying
y = 2

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