2(7y+6)+2(4y-9)=104

Solution for 2(7y+6)+2(4y-9)=104 equation:

Simplifying
2(7y + 6) + 2(4y + -9) = 104

Reorder the terms:
2(6 + 7y) + 2(4y + -9) = 104
(6 * 2 + 7y * 2) + 2(4y + -9) = 104
(12 + 14y) + 2(4y + -9) = 104

Reorder the terms:
12 + 14y + 2(-9 + 4y) = 104
12 + 14y + (-9 * 2 + 4y * 2) = 104
12 + 14y + (-18 + 8y) = 104

Reorder the terms:
12 + -18 + 14y + 8y = 104

Combine like terms: 12 + -18 = -6
-6 + 14y + 8y = 104

Combine like terms: 14y + 8y = 22y
-6 + 22y = 104

Solving
-6 + 22y = 104

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 22y = 104 + 6

Combine like terms: -6 + 6 = 0
0 + 22y = 104 + 6
22y = 104 + 6

Combine like terms: 104 + 6 = 110
22y = 110

Divide each side by '22'.
y = 5

Simplifying
y = 5