8(6y+16)=2-(4-2y)

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Solution for 8(6y+16)=2-(4-2y) equation:


Simplifying
8(6y + 16) = 2 + -1(4 + -2y)

Reorder the terms:
8(16 + 6y) = 2 + -1(4 + -2y)
(16 * 8 + 6y * 8) = 2 + -1(4 + -2y)
(128 + 48y) = 2 + -1(4 + -2y)
128 + 48y = 2 + (4 * -1 + -2y * -1)
128 + 48y = 2 + (-4 + 2y)

Combine like terms: 2 + -4 = -2
128 + 48y = -2 + 2y

Solving
128 + 48y = -2 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
128 + 48y + -2y = -2 + 2y + -2y

Combine like terms: 48y + -2y = 46y
128 + 46y = -2 + 2y + -2y

Combine like terms: 2y + -2y = 0
128 + 46y = -2 + 0
128 + 46y = -2

Add '-128' to each side of the equation.
128 + -128 + 46y = -2 + -128

Combine like terms: 128 + -128 = 0
0 + 46y = -2 + -128
46y = -2 + -128

Combine like terms: -2 + -128 = -130
46y = -130

Divide each side by '46'.
y = -2.826086957

Simplifying
y = -2.826086957

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