11-(2y+3)=2y-8

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Solution for 11-(2y+3)=2y-8 equation:


Simplifying
11 + -1(2y + 3) = 2y + -8

Reorder the terms:
11 + -1(3 + 2y) = 2y + -8
11 + (3 * -1 + 2y * -1) = 2y + -8
11 + (-3 + -2y) = 2y + -8

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

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

Solving
8 + -2y = -8 + 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.
8 + -2y + -2y = -8 + 2y + -2y

Combine like terms: -2y + -2y = -4y
8 + -4y = -8 + 2y + -2y

Combine like terms: 2y + -2y = 0
8 + -4y = -8 + 0
8 + -4y = -8

Add '-8' to each side of the equation.
8 + -8 + -4y = -8 + -8

Combine like terms: 8 + -8 = 0
0 + -4y = -8 + -8
-4y = -8 + -8

Combine like terms: -8 + -8 = -16
-4y = -16

Divide each side by '-4'.
y = 4

Simplifying
y = 4

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