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

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

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

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

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

Reorder the terms:
6 + 14y = 5(6 + y)
6 + 14y = (6 * 5 + y * 5)
6 + 14y = (30 + 5y)

Solving
6 + 14y = 30 + 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.
6 + 14y + -5y = 30 + 5y + -5y

Combine like terms: 14y + -5y = 9y
6 + 9y = 30 + 5y + -5y

Combine like terms: 5y + -5y = 0
6 + 9y = 30 + 0
6 + 9y = 30

Add '-6' to each side of the equation.
6 + -6 + 9y = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 9y = 30 + -6
9y = 30 + -6

Combine like terms: 30 + -6 = 24
9y = 24

Divide each side by '9'.
y = 2.666666667

Simplifying
y = 2.666666667