5y-2+y+20=8y+20-4y

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Solution for 5y-2+y+20=8y+20-4y equation:


Simplifying
5y + -2 + y + 20 = 8y + 20 + -4y

Reorder the terms:
-2 + 20 + 5y + y = 8y + 20 + -4y

Combine like terms: -2 + 20 = 18
18 + 5y + y = 8y + 20 + -4y

Combine like terms: 5y + y = 6y
18 + 6y = 8y + 20 + -4y

Reorder the terms:
18 + 6y = 20 + 8y + -4y

Combine like terms: 8y + -4y = 4y
18 + 6y = 20 + 4y

Solving
18 + 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.
18 + 6y + -4y = 20 + 4y + -4y

Combine like terms: 6y + -4y = 2y
18 + 2y = 20 + 4y + -4y

Combine like terms: 4y + -4y = 0
18 + 2y = 20 + 0
18 + 2y = 20

Add '-18' to each side of the equation.
18 + -18 + 2y = 20 + -18

Combine like terms: 18 + -18 = 0
0 + 2y = 20 + -18
2y = 20 + -18

Combine like terms: 20 + -18 = 2
2y = 2

Divide each side by '2'.
y = 1

Simplifying
y = 1

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