2(2y-1)=3(2y-2)

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Solution for 2(2y-1)=3(2y-2) equation:


Simplifying
2(2y + -1) = 3(2y + -2)

Reorder the terms:
2(-1 + 2y) = 3(2y + -2)
(-1 * 2 + 2y * 2) = 3(2y + -2)
(-2 + 4y) = 3(2y + -2)

Reorder the terms:
-2 + 4y = 3(-2 + 2y)
-2 + 4y = (-2 * 3 + 2y * 3)
-2 + 4y = (-6 + 6y)

Solving
-2 + 4y = -6 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-2 + 4y + -6y = -6 + 6y + -6y

Combine like terms: 4y + -6y = -2y
-2 + -2y = -6 + 6y + -6y

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

Add '2' to each side of the equation.
-2 + 2 + -2y = -6 + 2

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

Combine like terms: -6 + 2 = -4
-2y = -4

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

Simplifying
y = 2

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