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 = -5y
42 + -5y = 22

Solving
42 + -5y = 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 + -5y = 22 + -42

Combine like terms: 42 + -42 = 0
0 + -5y = 22 + -42
-5y = 22 + -42

Combine like terms: 22 + -42 = -20
-5y = -20

Divide each side by '-5'.
y = 4

Simplifying
y = 4