2+3(2y-6)-3(4y+7)-10=

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Solution for 2+3(2y-6)-3(4y+7)-10= equation: 


Simplifying
2 + 3(2y + -6) + -3(4y + 7) + -10 = 0

Reorder the terms:
2 + 3(-6 + 2y) + -3(4y + 7) + -10 = 0
2 + (-6 * 3 + 2y * 3) + -3(4y + 7) + -10 = 0
2 + (-18 + 6y) + -3(4y + 7) + -10 = 0

Reorder the terms:
2 + -18 + 6y + -3(7 + 4y) + -10 = 0
2 + -18 + 6y + (7 * -3 + 4y * -3) + -10 = 0
2 + -18 + 6y + (-21 + -12y) + -10 = 0

Reorder the terms:
2 + -18 + -21 + -10 + 6y + -12y = 0

Combine like terms: 2 + -18 = -16
-16 + -21 + -10 + 6y + -12y = 0

Combine like terms: -16 + -21 = -37
-37 + -10 + 6y + -12y = 0

Combine like terms: -37 + -10 = -47
-47 + 6y + -12y = 0

Combine like terms: 6y + -12y = -6y
-47 + -6y = 0

Solving
-47 + -6y = 0

Solving for variable 'y'.

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

Add '47' to each side of the equation.
-47 + 47 + -6y = 0 + 47

Combine like terms: -47 + 47 = 0
0 + -6y = 0 + 47
-6y = 0 + 47

Combine like terms: 0 + 47 = 47
-6y = 47

Divide each side by '-6'.
y = -7.833333333

Simplifying
y = -7.833333333

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