2y-2=3(3y-3)

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


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

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

Reorder the terms:
-2 + 2y = 3(-3 + 3y)
-2 + 2y = (-3 * 3 + 3y * 3)
-2 + 2y = (-9 + 9y)

Solving
-2 + 2y = -9 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-2 + 2y + -9y = -9 + 9y + -9y

Combine like terms: 2y + -9y = -7y
-2 + -7y = -9 + 9y + -9y

Combine like terms: 9y + -9y = 0
-2 + -7y = -9 + 0
-2 + -7y = -9

Add '2' to each side of the equation.
-2 + 2 + -7y = -9 + 2

Combine like terms: -2 + 2 = 0
0 + -7y = -9 + 2
-7y = -9 + 2

Combine like terms: -9 + 2 = -7
-7y = -7

Divide each side by '-7'.
y = 1

Simplifying
y = 1

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