-5y-9(2y+3)=7(3y-2)-(y-7)+23

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Solution for -5y-9(2y+3)=7(3y-2)-(y-7)+23 equation: 


Simplifying
-5y + -9(2y + 3) = 7(3y + -2) + -1(y + -7) + 23

Reorder the terms:
-5y + -9(3 + 2y) = 7(3y + -2) + -1(y + -7) + 23
-5y + (3 * -9 + 2y * -9) = 7(3y + -2) + -1(y + -7) + 23
-5y + (-27 + -18y) = 7(3y + -2) + -1(y + -7) + 23

Reorder the terms:
-27 + -5y + -18y = 7(3y + -2) + -1(y + -7) + 23

Combine like terms: -5y + -18y = -23y
-27 + -23y = 7(3y + -2) + -1(y + -7) + 23

Reorder the terms:
-27 + -23y = 7(-2 + 3y) + -1(y + -7) + 23
-27 + -23y = (-2 * 7 + 3y * 7) + -1(y + -7) + 23
-27 + -23y = (-14 + 21y) + -1(y + -7) + 23

Reorder the terms:
-27 + -23y = -14 + 21y + -1(-7 + y) + 23
-27 + -23y = -14 + 21y + (-7 * -1 + y * -1) + 23
-27 + -23y = -14 + 21y + (7 + -1y) + 23

Reorder the terms:
-27 + -23y = -14 + 7 + 23 + 21y + -1y

Combine like terms: -14 + 7 = -7
-27 + -23y = -7 + 23 + 21y + -1y

Combine like terms: -7 + 23 = 16
-27 + -23y = 16 + 21y + -1y

Combine like terms: 21y + -1y = 20y
-27 + -23y = 16 + 20y

Solving
-27 + -23y = 16 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
-27 + -23y + -20y = 16 + 20y + -20y

Combine like terms: -23y + -20y = -43y
-27 + -43y = 16 + 20y + -20y

Combine like terms: 20y + -20y = 0
-27 + -43y = 16 + 0
-27 + -43y = 16

Add '27' to each side of the equation.
-27 + 27 + -43y = 16 + 27

Combine like terms: -27 + 27 = 0
0 + -43y = 16 + 27
-43y = 16 + 27

Combine like terms: 16 + 27 = 43
-43y = 43

Divide each side by '-43'.
y = -1

Simplifying
y = -1

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