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

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


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

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

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

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

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

Solving
3 + 2y = -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.
3 + 2y + -3y = -5 + 3y + -3y

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

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

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

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

Combine like terms: -5 + -3 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8

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