12(y-2)-4(y-9)+3(y+3)=2

Solution for 12(y-2)-4(y-9)+3(y+3)=2 equation:

Simplifying
12(y + -2) + -4(y + -9) + 3(y + 3) = 2

Reorder the terms:
12(-2 + y) + -4(y + -9) + 3(y + 3) = 2
(-2 * 12 + y * 12) + -4(y + -9) + 3(y + 3) = 2
(-24 + 12y) + -4(y + -9) + 3(y + 3) = 2

Reorder the terms:
-24 + 12y + -4(-9 + y) + 3(y + 3) = 2
-24 + 12y + (-9 * -4 + y * -4) + 3(y + 3) = 2
-24 + 12y + (36 + -4y) + 3(y + 3) = 2

Reorder the terms:
-24 + 12y + 36 + -4y + 3(3 + y) = 2
-24 + 12y + 36 + -4y + (3 * 3 + y * 3) = 2
-24 + 12y + 36 + -4y + (9 + 3y) = 2

Reorder the terms:
-24 + 36 + 9 + 12y + -4y + 3y = 2

Combine like terms: -24 + 36 = 12
12 + 9 + 12y + -4y + 3y = 2

Combine like terms: 12 + 9 = 21
21 + 12y + -4y + 3y = 2

Combine like terms: 12y + -4y = 8y
21 + 8y + 3y = 2

Combine like terms: 8y + 3y = 11y
21 + 11y = 2

Solving
21 + 11y = 2

Solving for variable 'y'.

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

Add '-21' to each side of the equation.
21 + -21 + 11y = 2 + -21

Combine like terms: 21 + -21 = 0
0 + 11y = 2 + -21
11y = 2 + -21

Combine like terms: 2 + -21 = -19
11y = -19

Divide each side by '11'.
y = -1.727272727

Simplifying
y = -1.727272727