6x+2y+5=6x+y+13

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Solution for 6x+2y+5=6x+y+13 equation:


Simplifying
6x + 2y + 5 = 6x + y + 13

Reorder the terms:
5 + 6x + 2y = 6x + y + 13

Reorder the terms:
5 + 6x + 2y = 13 + 6x + y

Add '-6x' to each side of the equation.
5 + 6x + -6x + 2y = 13 + 6x + -6x + y

Combine like terms: 6x + -6x = 0
5 + 0 + 2y = 13 + 6x + -6x + y
5 + 2y = 13 + 6x + -6x + y

Combine like terms: 6x + -6x = 0
5 + 2y = 13 + 0 + y
5 + 2y = 13 + y

Solving
5 + 2y = 13 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
5 + 2y + -1y = 13 + y + -1y

Combine like terms: 2y + -1y = 1y
5 + 1y = 13 + y + -1y

Combine like terms: y + -1y = 0
5 + 1y = 13 + 0
5 + 1y = 13

Add '-5' to each side of the equation.
5 + -5 + 1y = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 1y = 13 + -5
1y = 13 + -5

Combine like terms: 13 + -5 = 8
1y = 8

Divide each side by '1'.
y = 8

Simplifying
y = 8

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