6y+7-19=7y+13-3y-21

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Solution for 6y+7-19=7y+13-3y-21 equation: 


Simplifying
6y + 7 + -19 = 7y + 13 + -3y + -21

Reorder the terms:
7 + -19 + 6y = 7y + 13 + -3y + -21

Combine like terms: 7 + -19 = -12
-12 + 6y = 7y + 13 + -3y + -21

Reorder the terms:
-12 + 6y = 13 + -21 + 7y + -3y

Combine like terms: 13 + -21 = -8
-12 + 6y = -8 + 7y + -3y

Combine like terms: 7y + -3y = 4y
-12 + 6y = -8 + 4y

Solving
-12 + 6y = -8 + 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.
-12 + 6y + -4y = -8 + 4y + -4y

Combine like terms: 6y + -4y = 2y
-12 + 2y = -8 + 4y + -4y

Combine like terms: 4y + -4y = 0
-12 + 2y = -8 + 0
-12 + 2y = -8

Add '12' to each side of the equation.
-12 + 12 + 2y = -8 + 12

Combine like terms: -12 + 12 = 0
0 + 2y = -8 + 12
2y = -8 + 12

Combine like terms: -8 + 12 = 4
2y = 4

Divide each side by '2'.
y = 2

Simplifying
y = 2

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