-(13y-22)+23y=-9+(-7y-16)+8y

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Solution for -(13y-22)+23y=-9+(-7y-16)+8y equation:


Simplifying
-1(13y + -22) + 23y = -9 + (-7y + -16) + 8y

Reorder the terms:
-1(-22 + 13y) + 23y = -9 + (-7y + -16) + 8y
(-22 * -1 + 13y * -1) + 23y = -9 + (-7y + -16) + 8y
(22 + -13y) + 23y = -9 + (-7y + -16) + 8y

Combine like terms: -13y + 23y = 10y
22 + 10y = -9 + (-7y + -16) + 8y

Reorder the terms:
22 + 10y = -9 + (-16 + -7y) + 8y

Remove parenthesis around (-16 + -7y)
22 + 10y = -9 + -16 + -7y + 8y

Combine like terms: -9 + -16 = -25
22 + 10y = -25 + -7y + 8y

Combine like terms: -7y + 8y = 1y
22 + 10y = -25 + 1y

Solving
22 + 10y = -25 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
22 + 10y + -1y = -25 + 1y + -1y

Combine like terms: 10y + -1y = 9y
22 + 9y = -25 + 1y + -1y

Combine like terms: 1y + -1y = 0
22 + 9y = -25 + 0
22 + 9y = -25

Add '-22' to each side of the equation.
22 + -22 + 9y = -25 + -22

Combine like terms: 22 + -22 = 0
0 + 9y = -25 + -22
9y = -25 + -22

Combine like terms: -25 + -22 = -47
9y = -47

Divide each side by '9'.
y = -5.222222222

Simplifying
y = -5.222222222

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