-3(-4y+2)-(3y-3)-2y+6=

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Solution for -3(-4y+2)-(3y-3)-2y+6= equation:


Simplifying
-3(-4y + 2) + -1(3y + -3) + -2y + 6 = 0

Reorder the terms:
-3(2 + -4y) + -1(3y + -3) + -2y + 6 = 0
(2 * -3 + -4y * -3) + -1(3y + -3) + -2y + 6 = 0
(-6 + 12y) + -1(3y + -3) + -2y + 6 = 0

Reorder the terms:
-6 + 12y + -1(-3 + 3y) + -2y + 6 = 0
-6 + 12y + (-3 * -1 + 3y * -1) + -2y + 6 = 0
-6 + 12y + (3 + -3y) + -2y + 6 = 0

Reorder the terms:
-6 + 3 + 6 + 12y + -3y + -2y = 0

Combine like terms: -6 + 3 = -3
-3 + 6 + 12y + -3y + -2y = 0

Combine like terms: -3 + 6 = 3
3 + 12y + -3y + -2y = 0

Combine like terms: 12y + -3y = 9y
3 + 9y + -2y = 0

Combine like terms: 9y + -2y = 7y
3 + 7y = 0

Solving
3 + 7y = 0

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + 7y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7y = 0 + -3
7y = 0 + -3

Combine like terms: 0 + -3 = -3
7y = -3

Divide each side by '7'.
y = -0.4285714286

Simplifying
y = -0.4285714286

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