12-(y-4)=2(y+6)

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Solution for 12-(y-4)=2(y+6) equation:


Simplifying
12 + -1(y + -4) = 2(y + 6)

Reorder the terms:
12 + -1(-4 + y) = 2(y + 6)
12 + (-4 * -1 + y * -1) = 2(y + 6)
12 + (4 + -1y) = 2(y + 6)

Combine like terms: 12 + 4 = 16
16 + -1y = 2(y + 6)

Reorder the terms:
16 + -1y = 2(6 + y)
16 + -1y = (6 * 2 + y * 2)
16 + -1y = (12 + 2y)

Solving
16 + -1y = 12 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
16 + -1y + -2y = 12 + 2y + -2y

Combine like terms: -1y + -2y = -3y
16 + -3y = 12 + 2y + -2y

Combine like terms: 2y + -2y = 0
16 + -3y = 12 + 0
16 + -3y = 12

Add '-16' to each side of the equation.
16 + -16 + -3y = 12 + -16

Combine like terms: 16 + -16 = 0
0 + -3y = 12 + -16
-3y = 12 + -16

Combine like terms: 12 + -16 = -4
-3y = -4

Divide each side by '-3'.
y = 1.333333333

Simplifying
y = 1.333333333

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