-33y+(-36y-39)+(-23y+20)=31+(-22y-30)

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Solution for -33y+(-36y-39)+(-23y+20)=31+(-22y-30) equation:


Simplifying
-33y + (-36y + -39) + (-23y + 20) = 31 + (-22y + -30)

Reorder the terms:
-33y + (-39 + -36y) + (-23y + 20) = 31 + (-22y + -30)

Remove parenthesis around (-39 + -36y)
-33y + -39 + -36y + (-23y + 20) = 31 + (-22y + -30)

Reorder the terms:
-33y + -39 + -36y + (20 + -23y) = 31 + (-22y + -30)

Remove parenthesis around (20 + -23y)
-33y + -39 + -36y + 20 + -23y = 31 + (-22y + -30)

Reorder the terms:
-39 + 20 + -33y + -36y + -23y = 31 + (-22y + -30)

Combine like terms: -39 + 20 = -19
-19 + -33y + -36y + -23y = 31 + (-22y + -30)

Combine like terms: -33y + -36y = -69y
-19 + -69y + -23y = 31 + (-22y + -30)

Combine like terms: -69y + -23y = -92y
-19 + -92y = 31 + (-22y + -30)

Reorder the terms:
-19 + -92y = 31 + (-30 + -22y)

Remove parenthesis around (-30 + -22y)
-19 + -92y = 31 + -30 + -22y

Combine like terms: 31 + -30 = 1
-19 + -92y = 1 + -22y

Solving
-19 + -92y = 1 + -22y

Solving for variable 'y'.

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

Add '22y' to each side of the equation.
-19 + -92y + 22y = 1 + -22y + 22y

Combine like terms: -92y + 22y = -70y
-19 + -70y = 1 + -22y + 22y

Combine like terms: -22y + 22y = 0
-19 + -70y = 1 + 0
-19 + -70y = 1

Add '19' to each side of the equation.
-19 + 19 + -70y = 1 + 19

Combine like terms: -19 + 19 = 0
0 + -70y = 1 + 19
-70y = 1 + 19

Combine like terms: 1 + 19 = 20
-70y = 20

Divide each side by '-70'.
y = -0.2857142857

Simplifying
y = -0.2857142857

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