(y-3)-(y+7)=2y

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Solution for (y-3)-(y+7)=2y equation:


Simplifying
(y + -3) + -1(y + 7) = 2y

Reorder the terms:
(-3 + y) + -1(y + 7) = 2y

Remove parenthesis around (-3 + y)
-3 + y + -1(y + 7) = 2y

Reorder the terms:
-3 + y + -1(7 + y) = 2y
-3 + y + (7 * -1 + y * -1) = 2y
-3 + y + (-7 + -1y) = 2y

Reorder the terms:
-3 + -7 + y + -1y = 2y

Combine like terms: -3 + -7 = -10
-10 + y + -1y = 2y

Combine like terms: y + -1y = 0
-10 + 0 = 2y
-10 = 2y

Solving
-10 = 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.
-10 + -2y = 2y + -2y

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

Add '10' to each side of the equation.
-10 + 10 + -2y = 0 + 10

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

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

Divide each side by '-2'.
y = -5

Simplifying
y = -5

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