2(3y-8)-11=5(y-9)-13

Solution for 2(3y-8)-11=5(y-9)-13 equation:

Simplifying
2(3y + -8) + -11 = 5(y + -9) + -13

Reorder the terms:
2(-8 + 3y) + -11 = 5(y + -9) + -13
(-8 * 2 + 3y * 2) + -11 = 5(y + -9) + -13
(-16 + 6y) + -11 = 5(y + -9) + -13

Reorder the terms:
-16 + -11 + 6y = 5(y + -9) + -13

Combine like terms: -16 + -11 = -27
-27 + 6y = 5(y + -9) + -13

Reorder the terms:
-27 + 6y = 5(-9 + y) + -13
-27 + 6y = (-9 * 5 + y * 5) + -13
-27 + 6y = (-45 + 5y) + -13

Reorder the terms:
-27 + 6y = -45 + -13 + 5y

Combine like terms: -45 + -13 = -58
-27 + 6y = -58 + 5y

Solving
-27 + 6y = -58 + 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.
-27 + 6y + -5y = -58 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-27 + 1y = -58 + 5y + -5y

Combine like terms: 5y + -5y = 0
-27 + 1y = -58 + 0
-27 + 1y = -58

Add '27' to each side of the equation.
-27 + 27 + 1y = -58 + 27

Combine like terms: -27 + 27 = 0
0 + 1y = -58 + 27
1y = -58 + 27

Combine like terms: -58 + 27 = -31
1y = -31

Divide each side by '1'.
y = -31

Simplifying
y = -31