(Y-6)-(y+7)=9y

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Solution for (Y-6)-(y+7)=9y equation:


Simplifying
(Y + -6) + -1(y + 7) = 9y

Reorder the terms:
(-6 + Y) + -1(y + 7) = 9y

Remove parenthesis around (-6 + Y)
-6 + Y + -1(y + 7) = 9y

Reorder the terms:
-6 + Y + -1(7 + y) = 9y
-6 + Y + (7 * -1 + y * -1) = 9y
-6 + Y + (-7 + -1y) = 9y

Reorder the terms:
-6 + -7 + Y + -1y = 9y

Combine like terms: -6 + -7 = -13
-13 + Y + -1y = 9y

Solving
-13 + Y + -1y = 9y

Solving for variable 'Y'.

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

Add '13' to each side of the equation.
-13 + Y + 13 + -1y = 13 + 9y

Reorder the terms:
-13 + 13 + Y + -1y = 13 + 9y

Combine like terms: -13 + 13 = 0
0 + Y + -1y = 13 + 9y
Y + -1y = 13 + 9y

Add 'y' to each side of the equation.
Y + -1y + y = 13 + 9y + y

Combine like terms: -1y + y = 0
Y + 0 = 13 + 9y + y
Y = 13 + 9y + y

Combine like terms: 9y + y = 10y
Y = 13 + 10y

Simplifying
Y = 13 + 10y

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