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

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


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

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

Remove parenthesis around (-3 + y)
-3 + y + -2 = 4y + -12

Reorder the terms:
-3 + -2 + y = 4y + -12

Combine like terms: -3 + -2 = -5
-5 + y = 4y + -12

Reorder the terms:
-5 + y = -12 + 4y

Solving
-5 + y = -12 + 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.
-5 + y + -4y = -12 + 4y + -4y

Combine like terms: y + -4y = -3y
-5 + -3y = -12 + 4y + -4y

Combine like terms: 4y + -4y = 0
-5 + -3y = -12 + 0
-5 + -3y = -12

Add '5' to each side of the equation.
-5 + 5 + -3y = -12 + 5

Combine like terms: -5 + 5 = 0
0 + -3y = -12 + 5
-3y = -12 + 5

Combine like terms: -12 + 5 = -7
-3y = -7

Divide each side by '-3'.
y = 2.333333333

Simplifying
y = 2.333333333

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