2y+4=2(3y-11)

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Solution for 2y+4=2(3y-11) equation:


Simplifying
2y + 4 = 2(3y + -11)

Reorder the terms:
4 + 2y = 2(3y + -11)

Reorder the terms:
4 + 2y = 2(-11 + 3y)
4 + 2y = (-11 * 2 + 3y * 2)
4 + 2y = (-22 + 6y)

Solving
4 + 2y = -22 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
4 + 2y + -6y = -22 + 6y + -6y

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

Combine like terms: 6y + -6y = 0
4 + -4y = -22 + 0
4 + -4y = -22

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

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

Combine like terms: -22 + -4 = -26
-4y = -26

Divide each side by '-4'.
y = 6.5

Simplifying
y = 6.5

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