2(3(2y+4)+2(-5y-4))=48

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Solution for 2(3(2y+4)+2(-5y-4))=48 equation: 


Simplifying
2(3(2y + 4) + 2(-5y + -4)) = 48

Reorder the terms:
2(3(4 + 2y) + 2(-5y + -4)) = 48
2((4 * 3 + 2y * 3) + 2(-5y + -4)) = 48
2((12 + 6y) + 2(-5y + -4)) = 48

Reorder the terms:
2(12 + 6y + 2(-4 + -5y)) = 48
2(12 + 6y + (-4 * 2 + -5y * 2)) = 48
2(12 + 6y + (-8 + -10y)) = 48

Reorder the terms:
2(12 + -8 + 6y + -10y) = 48

Combine like terms: 12 + -8 = 4
2(4 + 6y + -10y) = 48

Combine like terms: 6y + -10y = -4y
2(4 + -4y) = 48
(4 * 2 + -4y * 2) = 48
(8 + -8y) = 48

Solving
8 + -8y = 48

Solving for variable 'y'.

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

Add '-8' to each side of the equation.
8 + -8 + -8y = 48 + -8

Combine like terms: 8 + -8 = 0
0 + -8y = 48 + -8
-8y = 48 + -8

Combine like terms: 48 + -8 = 40
-8y = 40

Divide each side by '-8'.
y = -5

Simplifying
y = -5

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