3y+1-y=2+y-3

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Solution for 3y+1-y=2+y-3 equation:


Simplifying
3y + 1 + -1y = 2 + y + -3

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

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

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

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

Solving
1 + 2y = -1 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
1 + 2y + -1y = -1 + y + -1y

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

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

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

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

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

Divide each side by '1'.
y = -2

Simplifying
y = -2

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