2(2y+6)=8y+20

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Solution for 2(2y+6)=8y+20 equation:


Simplifying
2(2y + 6) = 8y + 20

Reorder the terms:
2(6 + 2y) = 8y + 20
(6 * 2 + 2y * 2) = 8y + 20
(12 + 4y) = 8y + 20

Reorder the terms:
12 + 4y = 20 + 8y

Solving
12 + 4y = 20 + 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.
12 + 4y + -8y = 20 + 8y + -8y

Combine like terms: 4y + -8y = -4y
12 + -4y = 20 + 8y + -8y

Combine like terms: 8y + -8y = 0
12 + -4y = 20 + 0
12 + -4y = 20

Add '-12' to each side of the equation.
12 + -12 + -4y = 20 + -12

Combine like terms: 12 + -12 = 0
0 + -4y = 20 + -12
-4y = 20 + -12

Combine like terms: 20 + -12 = 8
-4y = 8

Divide each side by '-4'.
y = -2

Simplifying
y = -2

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