Y-(3y-1)+2=2y+7

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Solution for Y-(3y-1)+2=2y+7 equation: 


Simplifying
Y + -1(3y + -1) + 2 = 2y + 7

Reorder the terms:
Y + -1(-1 + 3y) + 2 = 2y + 7
Y + (-1 * -1 + 3y * -1) + 2 = 2y + 7
Y + (1 + -3y) + 2 = 2y + 7

Reorder the terms:
1 + 2 + Y + -3y = 2y + 7

Combine like terms: 1 + 2 = 3
3 + Y + -3y = 2y + 7

Reorder the terms:
3 + Y + -3y = 7 + 2y

Solving
3 + Y + -3y = 7 + 2y

Solving for variable 'Y'.

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

Add '-3' to each side of the equation.
3 + Y + -3 + -3y = 7 + -3 + 2y

Reorder the terms:
3 + -3 + Y + -3y = 7 + -3 + 2y

Combine like terms: 3 + -3 = 0
0 + Y + -3y = 7 + -3 + 2y
Y + -3y = 7 + -3 + 2y

Combine like terms: 7 + -3 = 4
Y + -3y = 4 + 2y

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

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

Combine like terms: 2y + 3y = 5y
Y = 4 + 5y

Simplifying
Y = 4 + 5y

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