6y-8=2(2y+1)

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Solution for 6y-8=2(2y+1) equation:


Simplifying
6y + -8 = 2(2y + 1)

Reorder the terms:
-8 + 6y = 2(2y + 1)

Reorder the terms:
-8 + 6y = 2(1 + 2y)
-8 + 6y = (1 * 2 + 2y * 2)
-8 + 6y = (2 + 4y)

Solving
-8 + 6y = 2 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-8 + 6y + -4y = 2 + 4y + -4y

Combine like terms: 6y + -4y = 2y
-8 + 2y = 2 + 4y + -4y

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

Add '8' to each side of the equation.
-8 + 8 + 2y = 2 + 8

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

Combine like terms: 2 + 8 = 10
2y = 10

Divide each side by '2'.
y = 5

Simplifying
y = 5

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