(Y-5)-(y-6)=7y

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Solution for (Y-5)-(y-6)=7y equation:


Simplifying
(Y + -5) + -1(y + -6) = 7y

Reorder the terms:
(-5 + Y) + -1(y + -6) = 7y

Remove parenthesis around (-5 + Y)
-5 + Y + -1(y + -6) = 7y

Reorder the terms:
-5 + Y + -1(-6 + y) = 7y
-5 + Y + (-6 * -1 + y * -1) = 7y
-5 + Y + (6 + -1y) = 7y

Reorder the terms:
-5 + 6 + Y + -1y = 7y

Combine like terms: -5 + 6 = 1
1 + Y + -1y = 7y

Solving
1 + Y + -1y = 7y

Solving for variable 'Y'.

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

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

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

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

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

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

Combine like terms: 7y + y = 8y
Y = -1 + 8y

Simplifying
Y = -1 + 8y

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