y-4=3(y-12)

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


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

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

Reorder the terms:
-4 + y = 3(-12 + y)
-4 + y = (-12 * 3 + y * 3)
-4 + y = (-36 + 3y)

Solving
-4 + y = -36 + 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.
-4 + y + -3y = -36 + 3y + -3y

Combine like terms: y + -3y = -2y
-4 + -2y = -36 + 3y + -3y

Combine like terms: 3y + -3y = 0
-4 + -2y = -36 + 0
-4 + -2y = -36

Add '4' to each side of the equation.
-4 + 4 + -2y = -36 + 4

Combine like terms: -4 + 4 = 0
0 + -2y = -36 + 4
-2y = -36 + 4

Combine like terms: -36 + 4 = -32
-2y = -32

Divide each side by '-2'.
y = 16

Simplifying
y = 16

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