5y-5+y+19=6y+20-2y

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Solution for 5y-5+y+19=6y+20-2y equation:


Simplifying
5y + -5 + y + 19 = 6y + 20 + -2y

Reorder the terms:
-5 + 19 + 5y + y = 6y + 20 + -2y

Combine like terms: -5 + 19 = 14
14 + 5y + y = 6y + 20 + -2y

Combine like terms: 5y + y = 6y
14 + 6y = 6y + 20 + -2y

Reorder the terms:
14 + 6y = 20 + 6y + -2y

Combine like terms: 6y + -2y = 4y
14 + 6y = 20 + 4y

Solving
14 + 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.
14 + 6y + -4y = 20 + 4y + -4y

Combine like terms: 6y + -4y = 2y
14 + 2y = 20 + 4y + -4y

Combine like terms: 4y + -4y = 0
14 + 2y = 20 + 0
14 + 2y = 20

Add '-14' to each side of the equation.
14 + -14 + 2y = 20 + -14

Combine like terms: 14 + -14 = 0
0 + 2y = 20 + -14
2y = 20 + -14

Combine like terms: 20 + -14 = 6
2y = 6

Divide each side by '2'.
y = 3

Simplifying
y = 3

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