6+13y-1=7y+71-5y

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Solution for 6+13y-1=7y+71-5y equation:


Simplifying
6 + 13y + -1 = 7y + 71 + -5y

Reorder the terms:
6 + -1 + 13y = 7y + 71 + -5y

Combine like terms: 6 + -1 = 5
5 + 13y = 7y + 71 + -5y

Reorder the terms:
5 + 13y = 71 + 7y + -5y

Combine like terms: 7y + -5y = 2y
5 + 13y = 71 + 2y

Solving
5 + 13y = 71 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
5 + 13y + -2y = 71 + 2y + -2y

Combine like terms: 13y + -2y = 11y
5 + 11y = 71 + 2y + -2y

Combine like terms: 2y + -2y = 0
5 + 11y = 71 + 0
5 + 11y = 71

Add '-5' to each side of the equation.
5 + -5 + 11y = 71 + -5

Combine like terms: 5 + -5 = 0
0 + 11y = 71 + -5
11y = 71 + -5

Combine like terms: 71 + -5 = 66
11y = 66

Divide each side by '11'.
y = 6

Simplifying
y = 6

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