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

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


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

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

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

Combine like terms: 2y + -6y = -4y
-6 + -4y = 4 + -3(-2 + -1y)
-6 + -4y = 4 + (-2 * -3 + -1y * -3)
-6 + -4y = 4 + (6 + 3y)

Combine like terms: 4 + 6 = 10
-6 + -4y = 10 + 3y

Solving
-6 + -4y = 10 + 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.
-6 + -4y + -3y = 10 + 3y + -3y

Combine like terms: -4y + -3y = -7y
-6 + -7y = 10 + 3y + -3y

Combine like terms: 3y + -3y = 0
-6 + -7y = 10 + 0
-6 + -7y = 10

Add '6' to each side of the equation.
-6 + 6 + -7y = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -7y = 10 + 6
-7y = 10 + 6

Combine like terms: 10 + 6 = 16
-7y = 16

Divide each side by '-7'.
y = -2.285714286

Simplifying
y = -2.285714286

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