y+6(y-11)=5(y+16)

Solution for y+6(y-11)=5(y+16) equation:

Simplifying
y + 6(y + -11) = 5(y + 16)

Reorder the terms:
y + 6(-11 + y) = 5(y + 16)
y + (-11 * 6 + y * 6) = 5(y + 16)
y + (-66 + 6y) = 5(y + 16)

Reorder the terms:
-66 + y + 6y = 5(y + 16)

Combine like terms: y + 6y = 7y
-66 + 7y = 5(y + 16)

Reorder the terms:
-66 + 7y = 5(16 + y)
-66 + 7y = (16 * 5 + y * 5)
-66 + 7y = (80 + 5y)

Solving
-66 + 7y = 80 + 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.
-66 + 7y + -5y = 80 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-66 + 2y = 80 + 5y + -5y

Combine like terms: 5y + -5y = 0
-66 + 2y = 80 + 0
-66 + 2y = 80

Add '66' to each side of the equation.
-66 + 66 + 2y = 80 + 66

Combine like terms: -66 + 66 = 0
0 + 2y = 80 + 66
2y = 80 + 66

Combine like terms: 80 + 66 = 146
2y = 146

Divide each side by '2'.
y = 73

Simplifying
y = 73