9(9+y)=8(y-3)

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Solution for 9(9+y)=8(y-3) equation:


Simplifying
9(9 + y) = 8(y + -3)
(9 * 9 + y * 9) = 8(y + -3)
(81 + 9y) = 8(y + -3)

Reorder the terms:
81 + 9y = 8(-3 + y)
81 + 9y = (-3 * 8 + y * 8)
81 + 9y = (-24 + 8y)

Solving
81 + 9y = -24 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
81 + 9y + -8y = -24 + 8y + -8y

Combine like terms: 9y + -8y = 1y
81 + 1y = -24 + 8y + -8y

Combine like terms: 8y + -8y = 0
81 + 1y = -24 + 0
81 + 1y = -24

Add '-81' to each side of the equation.
81 + -81 + 1y = -24 + -81

Combine like terms: 81 + -81 = 0
0 + 1y = -24 + -81
1y = -24 + -81

Combine like terms: -24 + -81 = -105
1y = -105

Divide each side by '1'.
y = -105

Simplifying
y = -105

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