(Y+2)-(5y-2)=

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Solution for (Y+2)-(5y-2)= equation:


Simplifying
(Y + 2) + -1(5y + -2) = 0

Reorder the terms:
(2 + Y) + -1(5y + -2) = 0

Remove parenthesis around (2 + Y)
2 + Y + -1(5y + -2) = 0

Reorder the terms:
2 + Y + -1(-2 + 5y) = 0
2 + Y + (-2 * -1 + 5y * -1) = 0
2 + Y + (2 + -5y) = 0

Reorder the terms:
2 + 2 + Y + -5y = 0

Combine like terms: 2 + 2 = 4
4 + Y + -5y = 0

Solving
4 + Y + -5y = 0

Solving for variable 'Y'.

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

Add '-4' to each side of the equation.
4 + Y + -4 + -5y = 0 + -4

Reorder the terms:
4 + -4 + Y + -5y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + Y + -5y = 0 + -4
Y + -5y = 0 + -4

Combine like terms: 0 + -4 = -4
Y + -5y = -4

Add '5y' to each side of the equation.
Y + -5y + 5y = -4 + 5y

Combine like terms: -5y + 5y = 0
Y + 0 = -4 + 5y
Y = -4 + 5y

Simplifying
Y = -4 + 5y

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