(y-3)-1(y+8)=2y

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Solution for (y-3)-1(y+8)=2y equation:


Simplifying
(y + -3) + -1(y + 8) = 2y

Reorder the terms:
(-3 + y) + -1(y + 8) = 2y

Remove parenthesis around (-3 + y)
-3 + y + -1(y + 8) = 2y

Reorder the terms:
-3 + y + -1(8 + y) = 2y
-3 + y + (8 * -1 + y * -1) = 2y
-3 + y + (-8 + -1y) = 2y

Reorder the terms:
-3 + -8 + y + -1y = 2y

Combine like terms: -3 + -8 = -11
-11 + y + -1y = 2y

Combine like terms: y + -1y = 0
-11 + 0 = 2y
-11 = 2y

Solving
-11 = 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.
-11 + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
-11 + -2y = 0

Add '11' to each side of the equation.
-11 + 11 + -2y = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -2y = 0 + 11
-2y = 0 + 11

Combine like terms: 0 + 11 = 11
-2y = 11

Divide each side by '-2'.
y = -5.5

Simplifying
y = -5.5

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