2(3y-4)+7(6+y)=138

Solution for 2(3y-4)+7(6+y)=138 equation:

Simplifying
2(3y + -4) + 7(6 + y) = 138

Reorder the terms:
2(-4 + 3y) + 7(6 + y) = 138
(-4 * 2 + 3y * 2) + 7(6 + y) = 138
(-8 + 6y) + 7(6 + y) = 138
-8 + 6y + (6 * 7 + y * 7) = 138
-8 + 6y + (42 + 7y) = 138

Reorder the terms:
-8 + 42 + 6y + 7y = 138

Combine like terms: -8 + 42 = 34
34 + 6y + 7y = 138

Combine like terms: 6y + 7y = 13y
34 + 13y = 138

Solving
34 + 13y = 138

Solving for variable 'y'.

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

Add '-34' to each side of the equation.
34 + -34 + 13y = 138 + -34

Combine like terms: 34 + -34 = 0
0 + 13y = 138 + -34
13y = 138 + -34

Combine like terms: 138 + -34 = 104
13y = 104

Divide each side by '13'.
y = 8

Simplifying
y = 8