4+3(2y-6)-3(4y+8)-10=

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Solution for 4+3(2y-6)-3(4y+8)-10= equation: 


Simplifying
4 + 3(2y + -6) + -3(4y + 8) + -10 = 0

Reorder the terms:
4 + 3(-6 + 2y) + -3(4y + 8) + -10 = 0
4 + (-6 * 3 + 2y * 3) + -3(4y + 8) + -10 = 0
4 + (-18 + 6y) + -3(4y + 8) + -10 = 0

Reorder the terms:
4 + -18 + 6y + -3(8 + 4y) + -10 = 0
4 + -18 + 6y + (8 * -3 + 4y * -3) + -10 = 0
4 + -18 + 6y + (-24 + -12y) + -10 = 0

Reorder the terms:
4 + -18 + -24 + -10 + 6y + -12y = 0

Combine like terms: 4 + -18 = -14
-14 + -24 + -10 + 6y + -12y = 0

Combine like terms: -14 + -24 = -38
-38 + -10 + 6y + -12y = 0

Combine like terms: -38 + -10 = -48
-48 + 6y + -12y = 0

Combine like terms: 6y + -12y = -6y
-48 + -6y = 0

Solving
-48 + -6y = 0

Solving for variable 'y'.

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

Add '48' to each side of the equation.
-48 + 48 + -6y = 0 + 48

Combine like terms: -48 + 48 = 0
0 + -6y = 0 + 48
-6y = 0 + 48

Combine like terms: 0 + 48 = 48
-6y = 48

Divide each side by '-6'.
y = -8

Simplifying
y = -8

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