8(7-y)=6(y+9)2

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Solution for 8(7-y)=6(y+9)2 equation:


Simplifying
8(7 + -1y) = 6(y + 9) * 2
(7 * 8 + -1y * 8) = 6(y + 9) * 2
(56 + -8y) = 6(y + 9) * 2

Reorder the terms:
56 + -8y = 6(9 + y) * 2

Reorder the terms for easier multiplication:
56 + -8y = 6 * 2(9 + y)

Multiply 6 * 2
56 + -8y = 12(9 + y)
56 + -8y = (9 * 12 + y * 12)
56 + -8y = (108 + 12y)

Solving
56 + -8y = 108 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
56 + -8y + -12y = 108 + 12y + -12y

Combine like terms: -8y + -12y = -20y
56 + -20y = 108 + 12y + -12y

Combine like terms: 12y + -12y = 0
56 + -20y = 108 + 0
56 + -20y = 108

Add '-56' to each side of the equation.
56 + -56 + -20y = 108 + -56

Combine like terms: 56 + -56 = 0
0 + -20y = 108 + -56
-20y = 108 + -56

Combine like terms: 108 + -56 = 52
-20y = 52

Divide each side by '-20'.
y = -2.6

Simplifying
y = -2.6

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