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

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


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

Reorder the terms:
6(3 + 2y) + -6 + -4(2y + 3) = -3y
(3 * 6 + 2y * 6) + -6 + -4(2y + 3) = -3y
(18 + 12y) + -6 + -4(2y + 3) = -3y

Reorder the terms:
18 + 12y + -6 + -4(3 + 2y) = -3y
18 + 12y + -6 + (3 * -4 + 2y * -4) = -3y
18 + 12y + -6 + (-12 + -8y) = -3y

Reorder the terms:
18 + -6 + -12 + 12y + -8y = -3y

Combine like terms: 18 + -6 = 12
12 + -12 + 12y + -8y = -3y

Combine like terms: 12 + -12 = 0
0 + 12y + -8y = -3y
12y + -8y = -3y

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

Solving
4y = -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
4y + 3y = -3y + 3y

Combine like terms: 4y + 3y = 7y
7y = -3y + 3y

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

Divide each side by '7'.
y = 0

Simplifying
y = 0

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