(Y-6)-(y+6)=7y

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Solution for (Y-6)-(y+6)=7y equation:


Simplifying
(Y + -6) + -1(y + 6) = 7y

Reorder the terms:
(-6 + Y) + -1(y + 6) = 7y

Remove parenthesis around (-6 + Y)
-6 + Y + -1(y + 6) = 7y

Reorder the terms:
-6 + Y + -1(6 + y) = 7y
-6 + Y + (6 * -1 + y * -1) = 7y
-6 + Y + (-6 + -1y) = 7y

Reorder the terms:
-6 + -6 + Y + -1y = 7y

Combine like terms: -6 + -6 = -12
-12 + Y + -1y = 7y

Solving
-12 + Y + -1y = 7y

Solving for variable 'Y'.

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

Add '12' to each side of the equation.
-12 + Y + 12 + -1y = 12 + 7y

Reorder the terms:
-12 + 12 + Y + -1y = 12 + 7y

Combine like terms: -12 + 12 = 0
0 + Y + -1y = 12 + 7y
Y + -1y = 12 + 7y

Add 'y' to each side of the equation.
Y + -1y + y = 12 + 7y + y

Combine like terms: -1y + y = 0
Y + 0 = 12 + 7y + y
Y = 12 + 7y + y

Combine like terms: 7y + y = 8y
Y = 12 + 8y

Simplifying
Y = 12 + 8y

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