y-3=2y-6

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Solution for y-3=2y-6 equation:


Simplifying
y + -3 = 2y + -6

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

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

Solving
-3 + y = -6 + 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.
-3 + y + -2y = -6 + 2y + -2y

Combine like terms: y + -2y = -1y
-3 + -1y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
-3 + -1y = -6 + 0
-3 + -1y = -6

Add '3' to each side of the equation.
-3 + 3 + -1y = -6 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = -6 + 3
-1y = -6 + 3

Combine like terms: -6 + 3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3

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