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

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


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

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

Reorder the terms:
12 + 4y = -9 + 3y

Solving
12 + 4y = -9 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
12 + 4y + -3y = -9 + 3y + -3y

Combine like terms: 4y + -3y = 1y
12 + 1y = -9 + 3y + -3y

Combine like terms: 3y + -3y = 0
12 + 1y = -9 + 0
12 + 1y = -9

Add '-12' to each side of the equation.
12 + -12 + 1y = -9 + -12

Combine like terms: 12 + -12 = 0
0 + 1y = -9 + -12
1y = -9 + -12

Combine like terms: -9 + -12 = -21
1y = -21

Divide each side by '1'.
y = -21

Simplifying
y = -21

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