6+3(2y-5)-3(4y+3)-8=

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Solution for 6+3(2y-5)-3(4y+3)-8= equation: 


Simplifying
6 + 3(2y + -5) + -3(4y + 3) + -8 = 0

Reorder the terms:
6 + 3(-5 + 2y) + -3(4y + 3) + -8 = 0
6 + (-5 * 3 + 2y * 3) + -3(4y + 3) + -8 = 0
6 + (-15 + 6y) + -3(4y + 3) + -8 = 0

Reorder the terms:
6 + -15 + 6y + -3(3 + 4y) + -8 = 0
6 + -15 + 6y + (3 * -3 + 4y * -3) + -8 = 0
6 + -15 + 6y + (-9 + -12y) + -8 = 0

Reorder the terms:
6 + -15 + -9 + -8 + 6y + -12y = 0

Combine like terms: 6 + -15 = -9
-9 + -9 + -8 + 6y + -12y = 0

Combine like terms: -9 + -9 = -18
-18 + -8 + 6y + -12y = 0

Combine like terms: -18 + -8 = -26
-26 + 6y + -12y = 0

Combine like terms: 6y + -12y = -6y
-26 + -6y = 0

Solving
-26 + -6y = 0

Solving for variable 'y'.

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

Add '26' to each side of the equation.
-26 + 26 + -6y = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -6y = 0 + 26
-6y = 0 + 26

Combine like terms: 0 + 26 = 26
-6y = 26

Divide each side by '-6'.
y = -4.333333333

Simplifying
y = -4.333333333

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