2(2y+6)=4(9+3y)

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Solution for 2(2y+6)=4(9+3y) equation:


Simplifying
2(2y + 6) = 4(9 + 3y)

Reorder the terms:
2(6 + 2y) = 4(9 + 3y)
(6 * 2 + 2y * 2) = 4(9 + 3y)
(12 + 4y) = 4(9 + 3y)
12 + 4y = (9 * 4 + 3y * 4)
12 + 4y = (36 + 12y)

Solving
12 + 4y = 36 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
12 + 4y + -12y = 36 + 12y + -12y

Combine like terms: 4y + -12y = -8y
12 + -8y = 36 + 12y + -12y

Combine like terms: 12y + -12y = 0
12 + -8y = 36 + 0
12 + -8y = 36

Add '-12' to each side of the equation.
12 + -12 + -8y = 36 + -12

Combine like terms: 12 + -12 = 0
0 + -8y = 36 + -12
-8y = 36 + -12

Combine like terms: 36 + -12 = 24
-8y = 24

Divide each side by '-8'.
y = -3

Simplifying
y = -3

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