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

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


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

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

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

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

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

Solving for variable 'Y'.

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

Add '-2' to each side of the equation.
2 + Y + -2 + -2y = 6 + -2 + -3y

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

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

Combine like terms: 6 + -2 = 4
Y + -2y = 4 + -3y

Add '2y' to each side of the equation.
Y + -2y + 2y = 4 + -3y + 2y

Combine like terms: -2y + 2y = 0
Y + 0 = 4 + -3y + 2y
Y = 4 + -3y + 2y

Combine like terms: -3y + 2y = -1y
Y = 4 + -1y

Simplifying
Y = 4 + -1y

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