(y-3)-(y+5)=6y

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Solution for (y-3)-(y+5)=6y equation:


Simplifying
(y + -3) + -1(y + 5) = 6y

Reorder the terms:
(-3 + y) + -1(y + 5) = 6y

Remove parenthesis around (-3 + y)
-3 + y + -1(y + 5) = 6y

Reorder the terms:
-3 + y + -1(5 + y) = 6y
-3 + y + (5 * -1 + y * -1) = 6y
-3 + y + (-5 + -1y) = 6y

Reorder the terms:
-3 + -5 + y + -1y = 6y

Combine like terms: -3 + -5 = -8
-8 + y + -1y = 6y

Combine like terms: y + -1y = 0
-8 + 0 = 6y
-8 = 6y

Solving
-8 = 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-8 + -6y = 6y + -6y

Combine like terms: 6y + -6y = 0
-8 + -6y = 0

Add '8' to each side of the equation.
-8 + 8 + -6y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -6y = 0 + 8
-6y = 0 + 8

Combine like terms: 0 + 8 = 8
-6y = 8

Divide each side by '-6'.
y = -1.333333333

Simplifying
y = -1.333333333

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