8-(2y-4)=2-3y

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Solution for 8-(2y-4)=2-3y equation:


Simplifying
8 + -1(2y + -4) = 2 + -3y

Reorder the terms:
8 + -1(-4 + 2y) = 2 + -3y
8 + (-4 * -1 + 2y * -1) = 2 + -3y
8 + (4 + -2y) = 2 + -3y

Combine like terms: 8 + 4 = 12
12 + -2y = 2 + -3y

Solving
12 + -2y = 2 + -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.
12 + -2y + 3y = 2 + -3y + 3y

Combine like terms: -2y + 3y = 1y
12 + 1y = 2 + -3y + 3y

Combine like terms: -3y + 3y = 0
12 + 1y = 2 + 0
12 + 1y = 2

Add '-12' to each side of the equation.
12 + -12 + 1y = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 1y = 2 + -12
1y = 2 + -12

Combine like terms: 2 + -12 = -10
1y = -10

Divide each side by '1'.
y = -10

Simplifying
y = -10

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