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

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


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

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

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

Solving
-6 + 2y = -12 + -6y

Solving for variable 'y'.

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

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

Combine like terms: 2y + 6y = 8y
-6 + 8y = -12 + -6y + 6y

Combine like terms: -6y + 6y = 0
-6 + 8y = -12 + 0
-6 + 8y = -12

Add '6' to each side of the equation.
-6 + 6 + 8y = -12 + 6

Combine like terms: -6 + 6 = 0
0 + 8y = -12 + 6
8y = -12 + 6

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

Divide each side by '8'.
y = -0.75

Simplifying
y = -0.75

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