3y+5=2y-5

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


Simplifying
3y + 5 = 2y + -5

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

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

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

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

Combine like terms: 2y + -2y = 0
5 + 1y = -5 + 0
5 + 1y = -5

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

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

Combine like terms: -5 + -5 = -10
1y = -10

Divide each side by '1'.
y = -10

Simplifying
y = -10

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