3y+12=9(2y-4)-27

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Solution for 3y+12=9(2y-4)-27 equation: 


Simplifying
3y + 12 = 9(2y + -4) + -27

Reorder the terms:
12 + 3y = 9(2y + -4) + -27

Reorder the terms:
12 + 3y = 9(-4 + 2y) + -27
12 + 3y = (-4 * 9 + 2y * 9) + -27
12 + 3y = (-36 + 18y) + -27

Reorder the terms:
12 + 3y = -36 + -27 + 18y

Combine like terms: -36 + -27 = -63
12 + 3y = -63 + 18y

Solving
12 + 3y = -63 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
12 + 3y + -18y = -63 + 18y + -18y

Combine like terms: 3y + -18y = -15y
12 + -15y = -63 + 18y + -18y

Combine like terms: 18y + -18y = 0
12 + -15y = -63 + 0
12 + -15y = -63

Add '-12' to each side of the equation.
12 + -12 + -15y = -63 + -12

Combine like terms: 12 + -12 = 0
0 + -15y = -63 + -12
-15y = -63 + -12

Combine like terms: -63 + -12 = -75
-15y = -75

Divide each side by '-15'.
y = 5

Simplifying
y = 5

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