-3(y-2)=11y-16-3y

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Solution for -3(y-2)=11y-16-3y equation:


Simplifying
-3(y + -2) = 11y + -16 + -3y

Reorder the terms:
-3(-2 + y) = 11y + -16 + -3y
(-2 * -3 + y * -3) = 11y + -16 + -3y
(6 + -3y) = 11y + -16 + -3y

Reorder the terms:
6 + -3y = -16 + 11y + -3y

Combine like terms: 11y + -3y = 8y
6 + -3y = -16 + 8y

Solving
6 + -3y = -16 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
6 + -3y + -8y = -16 + 8y + -8y

Combine like terms: -3y + -8y = -11y
6 + -11y = -16 + 8y + -8y

Combine like terms: 8y + -8y = 0
6 + -11y = -16 + 0
6 + -11y = -16

Add '-6' to each side of the equation.
6 + -6 + -11y = -16 + -6

Combine like terms: 6 + -6 = 0
0 + -11y = -16 + -6
-11y = -16 + -6

Combine like terms: -16 + -6 = -22
-11y = -22

Divide each side by '-11'.
y = 2

Simplifying
y = 2

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