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

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


Simplifying
4 + -2(y + 2) + -3 = 12 + -4(3 + -1y)

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

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

Combine like terms: 4 + -4 = 0
0 + -3 + -2y = 12 + -4(3 + -1y)
-3 + -2y = 12 + -4(3 + -1y)
-3 + -2y = 12 + (3 * -4 + -1y * -4)
-3 + -2y = 12 + (-12 + 4y)

Combine like terms: 12 + -12 = 0
-3 + -2y = 0 + 4y
-3 + -2y = 4y

Solving
-3 + -2y = 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-3 + -2y + -4y = 4y + -4y

Combine like terms: -2y + -4y = -6y
-3 + -6y = 4y + -4y

Combine like terms: 4y + -4y = 0
-3 + -6y = 0

Add '3' to each side of the equation.
-3 + 3 + -6y = 0 + 3

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

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

Divide each side by '-6'.
y = -0.5

Simplifying
y = -0.5

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