12-3(y-2)=8-4y

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Solution for 12-3(y-2)=8-4y equation:


Simplifying
12 + -3(y + -2) = 8 + -4y

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

Combine like terms: 12 + 6 = 18
18 + -3y = 8 + -4y

Solving
18 + -3y = 8 + -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.
18 + -3y + 4y = 8 + -4y + 4y

Combine like terms: -3y + 4y = 1y
18 + 1y = 8 + -4y + 4y

Combine like terms: -4y + 4y = 0
18 + 1y = 8 + 0
18 + 1y = 8

Add '-18' to each side of the equation.
18 + -18 + 1y = 8 + -18

Combine like terms: 18 + -18 = 0
0 + 1y = 8 + -18
1y = 8 + -18

Combine like terms: 8 + -18 = -10
1y = -10

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

Simplifying
y = -10

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