5(y-2)-9=-3(-8y+9)-7y

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Solution for 5(y-2)-9=-3(-8y+9)-7y equation:


Simplifying
5(y + -2) + -9 = -3(-8y + 9) + -7y

Reorder the terms:
5(-2 + y) + -9 = -3(-8y + 9) + -7y
(-2 * 5 + y * 5) + -9 = -3(-8y + 9) + -7y
(-10 + 5y) + -9 = -3(-8y + 9) + -7y

Reorder the terms:
-10 + -9 + 5y = -3(-8y + 9) + -7y

Combine like terms: -10 + -9 = -19
-19 + 5y = -3(-8y + 9) + -7y

Reorder the terms:
-19 + 5y = -3(9 + -8y) + -7y
-19 + 5y = (9 * -3 + -8y * -3) + -7y
-19 + 5y = (-27 + 24y) + -7y

Combine like terms: 24y + -7y = 17y
-19 + 5y = -27 + 17y

Solving
-19 + 5y = -27 + 17y

Solving for variable 'y'.

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

Add '-17y' to each side of the equation.
-19 + 5y + -17y = -27 + 17y + -17y

Combine like terms: 5y + -17y = -12y
-19 + -12y = -27 + 17y + -17y

Combine like terms: 17y + -17y = 0
-19 + -12y = -27 + 0
-19 + -12y = -27

Add '19' to each side of the equation.
-19 + 19 + -12y = -27 + 19

Combine like terms: -19 + 19 = 0
0 + -12y = -27 + 19
-12y = -27 + 19

Combine like terms: -27 + 19 = -8
-12y = -8

Divide each side by '-12'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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