3y+2=5y-3y

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


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

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

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

Solving
2 + 3y = 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
2 + 3y + -2y = 2y + -2y

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

Combine like terms: 2y + -2y = 0
2 + 1y = 0

Add '-2' to each side of the equation.
2 + -2 + 1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = 0 + -2
1y = 0 + -2

Combine like terms: 0 + -2 = -2
1y = -2

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

Simplifying
y = -2

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