3(4y+14)+7y=22

Solution for 3(4y+14)+7y=22 equation:

Simplifying
3(4y + 14) + 7y = 22

Reorder the terms:
3(14 + 4y) + 7y = 22
(14 * 3 + 4y * 3) + 7y = 22
(42 + 12y) + 7y = 22

Combine like terms: 12y + 7y = 19y
42 + 19y = 22

Solving
42 + 19y = 22

Solving for variable 'y'.

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

Add '-42' to each side of the equation.
42 + -42 + 19y = 22 + -42

Combine like terms: 42 + -42 = 0
0 + 19y = 22 + -42
19y = 22 + -42

Combine like terms: 22 + -42 = -20
19y = -20

Divide each side by '19'.
y = -1.052631579

Simplifying
y = -1.052631579