(y-7)-(y+5)=2y

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Solution for (y-7)-(y+5)=2y equation:


Simplifying
(y + -7) + -1(y + 5) = 2y

Reorder the terms:
(-7 + y) + -1(y + 5) = 2y

Remove parenthesis around (-7 + y)
-7 + y + -1(y + 5) = 2y

Reorder the terms:
-7 + y + -1(5 + y) = 2y
-7 + y + (5 * -1 + y * -1) = 2y
-7 + y + (-5 + -1y) = 2y

Reorder the terms:
-7 + -5 + y + -1y = 2y

Combine like terms: -7 + -5 = -12
-12 + y + -1y = 2y

Combine like terms: y + -1y = 0
-12 + 0 = 2y
-12 = 2y

Solving
-12 = 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-12 + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
-12 + -2y = 0

Add '12' to each side of the equation.
-12 + 12 + -2y = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -2y = 0 + 12
-2y = 0 + 12

Combine like terms: 0 + 12 = 12
-2y = 12

Divide each side by '-2'.
y = -6

Simplifying
y = -6

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