3(y+2)+2y=7(y-1)+9

Solution for 3(y+2)+2y=7(y-1)+9 equation:

Simplifying
3(y + 2) + 2y = 7(y + -1) + 9

Reorder the terms:
3(2 + y) + 2y = 7(y + -1) + 9
(2 * 3 + y * 3) + 2y = 7(y + -1) + 9
(6 + 3y) + 2y = 7(y + -1) + 9

Combine like terms: 3y + 2y = 5y
6 + 5y = 7(y + -1) + 9

Reorder the terms:
6 + 5y = 7(-1 + y) + 9
6 + 5y = (-1 * 7 + y * 7) + 9
6 + 5y = (-7 + 7y) + 9

Reorder the terms:
6 + 5y = -7 + 9 + 7y

Combine like terms: -7 + 9 = 2
6 + 5y = 2 + 7y

Solving
6 + 5y = 2 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
6 + 5y + -7y = 2 + 7y + -7y

Combine like terms: 5y + -7y = -2y
6 + -2y = 2 + 7y + -7y

Combine like terms: 7y + -7y = 0
6 + -2y = 2 + 0
6 + -2y = 2

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

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

Combine like terms: 2 + -6 = -4
-2y = -4

Divide each side by '-2'.
y = 2

Simplifying
y = 2