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

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


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

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

Combine like terms: 6y + -1y = 5y
48 + 5y = 2(4 + -1y)
48 + 5y = (4 * 2 + -1y * 2)
48 + 5y = (8 + -2y)

Solving
48 + 5y = 8 + -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.
48 + 5y + 2y = 8 + -2y + 2y

Combine like terms: 5y + 2y = 7y
48 + 7y = 8 + -2y + 2y

Combine like terms: -2y + 2y = 0
48 + 7y = 8 + 0
48 + 7y = 8

Add '-48' to each side of the equation.
48 + -48 + 7y = 8 + -48

Combine like terms: 48 + -48 = 0
0 + 7y = 8 + -48
7y = 8 + -48

Combine like terms: 8 + -48 = -40
7y = -40

Divide each side by '7'.
y = -5.714285714

Simplifying
y = -5.714285714

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