13+7(2y-1)=5y+6

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Solution for 13+7(2y-1)=5y+6 equation:


Simplifying
13 + 7(2y + -1) = 5y + 6

Reorder the terms:
13 + 7(-1 + 2y) = 5y + 6
13 + (-1 * 7 + 2y * 7) = 5y + 6
13 + (-7 + 14y) = 5y + 6

Combine like terms: 13 + -7 = 6
6 + 14y = 5y + 6

Reorder the terms:
6 + 14y = 6 + 5y

Add '-6' to each side of the equation.
6 + -6 + 14y = 6 + -6 + 5y

Combine like terms: 6 + -6 = 0
0 + 14y = 6 + -6 + 5y
14y = 6 + -6 + 5y

Combine like terms: 6 + -6 = 0
14y = 0 + 5y
14y = 5y

Solving
14y = 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
14y + -5y = 5y + -5y

Combine like terms: 14y + -5y = 9y
9y = 5y + -5y

Combine like terms: 5y + -5y = 0
9y = 0

Divide each side by '9'.
y = 0

Simplifying
y = 0

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