-2+y-5y+3=-4y-3+y-2

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Solution for -2+y-5y+3=-4y-3+y-2 equation: 


Simplifying
-2 + y + -5y + 3 = -4y + -3 + y + -2

Reorder the terms:
-2 + 3 + y + -5y = -4y + -3 + y + -2

Combine like terms: -2 + 3 = 1
1 + y + -5y = -4y + -3 + y + -2

Combine like terms: y + -5y = -4y
1 + -4y = -4y + -3 + y + -2

Reorder the terms:
1 + -4y = -3 + -2 + -4y + y

Combine like terms: -3 + -2 = -5
1 + -4y = -5 + -4y + y

Combine like terms: -4y + y = -3y
1 + -4y = -5 + -3y

Solving
1 + -4y = -5 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
1 + -4y + 3y = -5 + -3y + 3y

Combine like terms: -4y + 3y = -1y
1 + -1y = -5 + -3y + 3y

Combine like terms: -3y + 3y = 0
1 + -1y = -5 + 0
1 + -1y = -5

Add '-1' to each side of the equation.
1 + -1 + -1y = -5 + -1

Combine like terms: 1 + -1 = 0
0 + -1y = -5 + -1
-1y = -5 + -1

Combine like terms: -5 + -1 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6

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