8(6+y)=7(y-8)

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Solution for 8(6+y)=7(y-8) equation: 


Simplifying
8(6 + y) = 7(y + -8)
(6 * 8 + y * 8) = 7(y + -8)
(48 + 8y) = 7(y + -8)

Reorder the terms:
48 + 8y = 7(-8 + y)
48 + 8y = (-8 * 7 + y * 7)
48 + 8y = (-56 + 7y)

Solving
48 + 8y = -56 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
48 + 8y + -7y = -56 + 7y + -7y

Combine like terms: 8y + -7y = 1y
48 + 1y = -56 + 7y + -7y

Combine like terms: 7y + -7y = 0
48 + 1y = -56 + 0
48 + 1y = -56

Add '-48' to each side of the equation.
48 + -48 + 1y = -56 + -48

Combine like terms: 48 + -48 = 0
0 + 1y = -56 + -48
1y = -56 + -48

Combine like terms: -56 + -48 = -104
1y = -104

Divide each side by '1'.
y = -104

Simplifying
y = -104

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