-3(7y-2)+9y=2(y+7)

Solution for -3(7y-2)+9y=2(y+7) equation:

Simplifying
-3(7y + -2) + 9y = 2(y + 7)

Reorder the terms:
-3(-2 + 7y) + 9y = 2(y + 7)
(-2 * -3 + 7y * -3) + 9y = 2(y + 7)
(6 + -21y) + 9y = 2(y + 7)

Combine like terms: -21y + 9y = -12y
6 + -12y = 2(y + 7)

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

Solving
6 + -12y = 14 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
6 + -12y + -2y = 14 + 2y + -2y

Combine like terms: -12y + -2y = -14y
6 + -14y = 14 + 2y + -2y

Combine like terms: 2y + -2y = 0
6 + -14y = 14 + 0
6 + -14y = 14

Add '-6' to each side of the equation.
6 + -6 + -14y = 14 + -6

Combine like terms: 6 + -6 = 0
0 + -14y = 14 + -6
-14y = 14 + -6

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

Divide each side by '-14'.
y = -0.5714285714

Simplifying
y = -0.5714285714