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 = -5y
-6 + -5y = -16 + 8y + -8y

Combine like terms: 8y + -8y = 0
-6 + -5y = -16 + 0
-6 + -5y = -16

Add '6' to each side of the equation.
-6 + 6 + -5y = -16 + 6

Combine like terms: -6 + 6 = 0
0 + -5y = -16 + 6
-5y = -16 + 6

Combine like terms: -16 + 6 = -10
-5y = -10

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

Simplifying
y = 2

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