(Y-4)-(y+7)=5y

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Solution for (Y-4)-(y+7)=5y equation: 


Simplifying
(Y + -4) + -1(y + 7) = 5y

Reorder the terms:
(-4 + Y) + -1(y + 7) = 5y

Remove parenthesis around (-4 + Y)
-4 + Y + -1(y + 7) = 5y

Reorder the terms:
-4 + Y + -1(7 + y) = 5y
-4 + Y + (7 * -1 + y * -1) = 5y
-4 + Y + (-7 + -1y) = 5y

Reorder the terms:
-4 + -7 + Y + -1y = 5y

Combine like terms: -4 + -7 = -11
-11 + Y + -1y = 5y

Solving
-11 + Y + -1y = 5y

Solving for variable 'Y'.

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

Add '11' to each side of the equation.
-11 + Y + 11 + -1y = 11 + 5y

Reorder the terms:
-11 + 11 + Y + -1y = 11 + 5y

Combine like terms: -11 + 11 = 0
0 + Y + -1y = 11 + 5y
Y + -1y = 11 + 5y

Add 'y' to each side of the equation.
Y + -1y + y = 11 + 5y + y

Combine like terms: -1y + y = 0
Y + 0 = 11 + 5y + y
Y = 11 + 5y + y

Combine like terms: 5y + y = 6y
Y = 11 + 6y

Simplifying
Y = 11 + 6y

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