2+3(2y-7)-3(4y+3)-8=

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Solution for 2+3(2y-7)-3(4y+3)-8= equation: 


Simplifying
2 + 3(2y + -7) + -3(4y + 3) + -8 = 0

Reorder the terms:
2 + 3(-7 + 2y) + -3(4y + 3) + -8 = 0
2 + (-7 * 3 + 2y * 3) + -3(4y + 3) + -8 = 0
2 + (-21 + 6y) + -3(4y + 3) + -8 = 0

Reorder the terms:
2 + -21 + 6y + -3(3 + 4y) + -8 = 0
2 + -21 + 6y + (3 * -3 + 4y * -3) + -8 = 0
2 + -21 + 6y + (-9 + -12y) + -8 = 0

Reorder the terms:
2 + -21 + -9 + -8 + 6y + -12y = 0

Combine like terms: 2 + -21 = -19
-19 + -9 + -8 + 6y + -12y = 0

Combine like terms: -19 + -9 = -28
-28 + -8 + 6y + -12y = 0

Combine like terms: -28 + -8 = -36
-36 + 6y + -12y = 0

Combine like terms: 6y + -12y = -6y
-36 + -6y = 0

Solving
-36 + -6y = 0

Solving for variable 'y'.

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

Add '36' to each side of the equation.
-36 + 36 + -6y = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -6y = 0 + 36
-6y = 0 + 36

Combine like terms: 0 + 36 = 36
-6y = 36

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

Simplifying
y = -6

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