3(4y-8)-24y+70=4(4-12y)

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Solution for 3(4y-8)-24y+70=4(4-12y) equation: 


Simplifying
3(4y + -8) + -24y + 70 = 4(4 + -12y)

Reorder the terms:
3(-8 + 4y) + -24y + 70 = 4(4 + -12y)
(-8 * 3 + 4y * 3) + -24y + 70 = 4(4 + -12y)
(-24 + 12y) + -24y + 70 = 4(4 + -12y)

Reorder the terms:
-24 + 70 + 12y + -24y = 4(4 + -12y)

Combine like terms: -24 + 70 = 46
46 + 12y + -24y = 4(4 + -12y)

Combine like terms: 12y + -24y = -12y
46 + -12y = 4(4 + -12y)
46 + -12y = (4 * 4 + -12y * 4)
46 + -12y = (16 + -48y)

Solving
46 + -12y = 16 + -48y

Solving for variable 'y'.

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

Add '48y' to each side of the equation.
46 + -12y + 48y = 16 + -48y + 48y

Combine like terms: -12y + 48y = 36y
46 + 36y = 16 + -48y + 48y

Combine like terms: -48y + 48y = 0
46 + 36y = 16 + 0
46 + 36y = 16

Add '-46' to each side of the equation.
46 + -46 + 36y = 16 + -46

Combine like terms: 46 + -46 = 0
0 + 36y = 16 + -46
36y = 16 + -46

Combine like terms: 16 + -46 = -30
36y = -30

Divide each side by '36'.
y = -0.8333333333

Simplifying
y = -0.8333333333

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