(y-9)-(3y-7)=(y-9)+(7y+6)

Solution for (y-9)-(3y-7)=(y-9)+(7y+6) equation:

Simplifying
(y + -9) + -1(3y + -7) = (y + -9) + (7y + 6)

Reorder the terms:
(-9 + y) + -1(3y + -7) = (y + -9) + (7y + 6)

Remove parenthesis around (-9 + y)
-9 + y + -1(3y + -7) = (y + -9) + (7y + 6)

Reorder the terms:
-9 + y + -1(-7 + 3y) = (y + -9) + (7y + 6)
-9 + y + (-7 * -1 + 3y * -1) = (y + -9) + (7y + 6)
-9 + y + (7 + -3y) = (y + -9) + (7y + 6)

Reorder the terms:
-9 + 7 + y + -3y = (y + -9) + (7y + 6)

Combine like terms: -9 + 7 = -2
-2 + y + -3y = (y + -9) + (7y + 6)

Combine like terms: y + -3y = -2y
-2 + -2y = (y + -9) + (7y + 6)

Reorder the terms:
-2 + -2y = (-9 + y) + (7y + 6)

Remove parenthesis around (-9 + y)
-2 + -2y = -9 + y + (7y + 6)

Reorder the terms:
-2 + -2y = -9 + y + (6 + 7y)

Remove parenthesis around (6 + 7y)
-2 + -2y = -9 + y + 6 + 7y

Reorder the terms:
-2 + -2y = -9 + 6 + y + 7y

Combine like terms: -9 + 6 = -3
-2 + -2y = -3 + y + 7y

Combine like terms: y + 7y = 8y
-2 + -2y = -3 + 8y

Solving
-2 + -2y = -3 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-2 + -2y + -8y = -3 + 8y + -8y

Combine like terms: -2y + -8y = -10y
-2 + -10y = -3 + 8y + -8y

Combine like terms: 8y + -8y = 0
-2 + -10y = -3 + 0
-2 + -10y = -3

Add '2' to each side of the equation.
-2 + 2 + -10y = -3 + 2

Combine like terms: -2 + 2 = 0
0 + -10y = -3 + 2
-10y = -3 + 2

Combine like terms: -3 + 2 = -1
-10y = -1

Divide each side by '-10'.
y = 0.1

Simplifying
y = 0.1