2+3(2y-7)-3(4y+5)-9=

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Solution for 2+3(2y-7)-3(4y+5)-9= equation: 


Simplifying
2 + 3(2y + -7) + -3(4y + 5) + -9 = 0

Reorder the terms:
2 + 3(-7 + 2y) + -3(4y + 5) + -9 = 0
2 + (-7 * 3 + 2y * 3) + -3(4y + 5) + -9 = 0
2 + (-21 + 6y) + -3(4y + 5) + -9 = 0

Reorder the terms:
2 + -21 + 6y + -3(5 + 4y) + -9 = 0
2 + -21 + 6y + (5 * -3 + 4y * -3) + -9 = 0
2 + -21 + 6y + (-15 + -12y) + -9 = 0

Reorder the terms:
2 + -21 + -15 + -9 + 6y + -12y = 0

Combine like terms: 2 + -21 = -19
-19 + -15 + -9 + 6y + -12y = 0

Combine like terms: -19 + -15 = -34
-34 + -9 + 6y + -12y = 0

Combine like terms: -34 + -9 = -43
-43 + 6y + -12y = 0

Combine like terms: 6y + -12y = -6y
-43 + -6y = 0

Solving
-43 + -6y = 0

Solving for variable 'y'.

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

Add '43' to each side of the equation.
-43 + 43 + -6y = 0 + 43

Combine like terms: -43 + 43 = 0
0 + -6y = 0 + 43
-6y = 0 + 43

Combine like terms: 0 + 43 = 43
-6y = 43

Divide each side by '-6'.
y = -7.166666667

Simplifying
y = -7.166666667

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