y-2=3(y+6)

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Solution for y-2=3(y+6) equation:


Simplifying
y + -2 = 3(y + 6)

Reorder the terms:
-2 + y = 3(y + 6)

Reorder the terms:
-2 + y = 3(6 + y)
-2 + y = (6 * 3 + y * 3)
-2 + y = (18 + 3y)

Solving
-2 + y = 18 + 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.
-2 + y + -3y = 18 + 3y + -3y

Combine like terms: y + -3y = -2y
-2 + -2y = 18 + 3y + -3y

Combine like terms: 3y + -3y = 0
-2 + -2y = 18 + 0
-2 + -2y = 18

Add '2' to each side of the equation.
-2 + 2 + -2y = 18 + 2

Combine like terms: -2 + 2 = 0
0 + -2y = 18 + 2
-2y = 18 + 2

Combine like terms: 18 + 2 = 20
-2y = 20

Divide each side by '-2'.
y = -10

Simplifying
y = -10

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