y-7(y-2)=(-8y+14)-9

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Solution for y-7(y-2)=(-8y+14)-9 equation:


Simplifying
y + -7(y + -2) = (-8y + 14) + -9

Reorder the terms:
y + -7(-2 + y) = (-8y + 14) + -9
y + (-2 * -7 + y * -7) = (-8y + 14) + -9
y + (14 + -7y) = (-8y + 14) + -9

Reorder the terms:
14 + y + -7y = (-8y + 14) + -9

Combine like terms: y + -7y = -6y
14 + -6y = (-8y + 14) + -9

Reorder the terms:
14 + -6y = (14 + -8y) + -9

Remove parenthesis around (14 + -8y)
14 + -6y = 14 + -8y + -9

Reorder the terms:
14 + -6y = 14 + -9 + -8y

Combine like terms: 14 + -9 = 5
14 + -6y = 5 + -8y

Solving
14 + -6y = 5 + -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.
14 + -6y + 8y = 5 + -8y + 8y

Combine like terms: -6y + 8y = 2y
14 + 2y = 5 + -8y + 8y

Combine like terms: -8y + 8y = 0
14 + 2y = 5 + 0
14 + 2y = 5

Add '-14' to each side of the equation.
14 + -14 + 2y = 5 + -14

Combine like terms: 14 + -14 = 0
0 + 2y = 5 + -14
2y = 5 + -14

Combine like terms: 5 + -14 = -9
2y = -9

Divide each side by '2'.
y = -4.5

Simplifying
y = -4.5

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