(Y-9)-(Y+3)=5Y

Solution for (Y-9)-(Y+3)=5Y equation:

Simplifying
(Y + -9) + -1(Y + 3) = 5Y

Reorder the terms:
(-9 + Y) + -1(Y + 3) = 5Y

Remove parenthesis around (-9 + Y)
-9 + Y + -1(Y + 3) = 5Y

Reorder the terms:
-9 + Y + -1(3 + Y) = 5Y
-9 + Y + (3 * -1 + Y * -1) = 5Y
-9 + Y + (-3 + -1Y) = 5Y

Reorder the terms:
-9 + -3 + Y + -1Y = 5Y

Combine like terms: -9 + -3 = -12
-12 + Y + -1Y = 5Y

Combine like terms: Y + -1Y = 0
-12 + 0 = 5Y
-12 = 5Y

Solving
-12 = 5Y

Solving for variable 'Y'.

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

Add '-5Y' to each side of the equation.
-12 + -5Y = 5Y + -5Y

Combine like terms: 5Y + -5Y = 0
-12 + -5Y = 0

Add '12' to each side of the equation.
-12 + 12 + -5Y = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -5Y = 0 + 12
-5Y = 0 + 12

Combine like terms: 0 + 12 = 12
-5Y = 12

Divide each side by '-5'.
Y = -2.4

Simplifying
Y = -2.4