5y-2+y+19=7y+20-4y

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Solution for 5y-2+y+19=7y+20-4y equation: 


Simplifying
5y + -2 + y + 19 = 7y + 20 + -4y

Reorder the terms:
-2 + 19 + 5y + y = 7y + 20 + -4y

Combine like terms: -2 + 19 = 17
17 + 5y + y = 7y + 20 + -4y

Combine like terms: 5y + y = 6y
17 + 6y = 7y + 20 + -4y

Reorder the terms:
17 + 6y = 20 + 7y + -4y

Combine like terms: 7y + -4y = 3y
17 + 6y = 20 + 3y

Solving
17 + 6y = 20 + 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.
17 + 6y + -3y = 20 + 3y + -3y

Combine like terms: 6y + -3y = 3y
17 + 3y = 20 + 3y + -3y

Combine like terms: 3y + -3y = 0
17 + 3y = 20 + 0
17 + 3y = 20

Add '-17' to each side of the equation.
17 + -17 + 3y = 20 + -17

Combine like terms: 17 + -17 = 0
0 + 3y = 20 + -17
3y = 20 + -17

Combine like terms: 20 + -17 = 3
3y = 3

Divide each side by '3'.
y = 1

Simplifying
y = 1

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