2(2y+4)+12=6(4y+1)-9

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Solution for 2(2y+4)+12=6(4y+1)-9 equation:


Simplifying
2(2y + 4) + 12 = 6(4y + 1) + -9

Reorder the terms:
2(4 + 2y) + 12 = 6(4y + 1) + -9
(4 * 2 + 2y * 2) + 12 = 6(4y + 1) + -9
(8 + 4y) + 12 = 6(4y + 1) + -9

Reorder the terms:
8 + 12 + 4y = 6(4y + 1) + -9

Combine like terms: 8 + 12 = 20
20 + 4y = 6(4y + 1) + -9

Reorder the terms:
20 + 4y = 6(1 + 4y) + -9
20 + 4y = (1 * 6 + 4y * 6) + -9
20 + 4y = (6 + 24y) + -9

Reorder the terms:
20 + 4y = 6 + -9 + 24y

Combine like terms: 6 + -9 = -3
20 + 4y = -3 + 24y

Solving
20 + 4y = -3 + 24y

Solving for variable 'y'.

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

Add '-24y' to each side of the equation.
20 + 4y + -24y = -3 + 24y + -24y

Combine like terms: 4y + -24y = -20y
20 + -20y = -3 + 24y + -24y

Combine like terms: 24y + -24y = 0
20 + -20y = -3 + 0
20 + -20y = -3

Add '-20' to each side of the equation.
20 + -20 + -20y = -3 + -20

Combine like terms: 20 + -20 = 0
0 + -20y = -3 + -20
-20y = -3 + -20

Combine like terms: -3 + -20 = -23
-20y = -23

Divide each side by '-20'.
y = 1.15

Simplifying
y = 1.15

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