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

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


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

Reorder the terms:
2(-11 + 3y) = (2y + -2)
(-11 * 2 + 3y * 2) = (2y + -2)
(-22 + 6y) = (2y + -2)

Reorder the terms:
-22 + 6y = (-2 + 2y)

Remove parenthesis around (-2 + 2y)
-22 + 6y = -2 + 2y

Solving
-22 + 6y = -2 + 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.
-22 + 6y + -2y = -2 + 2y + -2y

Combine like terms: 6y + -2y = 4y
-22 + 4y = -2 + 2y + -2y

Combine like terms: 2y + -2y = 0
-22 + 4y = -2 + 0
-22 + 4y = -2

Add '22' to each side of the equation.
-22 + 22 + 4y = -2 + 22

Combine like terms: -22 + 22 = 0
0 + 4y = -2 + 22
4y = -2 + 22

Combine like terms: -2 + 22 = 20
4y = 20

Divide each side by '4'.
y = 5

Simplifying
y = 5

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