2y+5=3y-2

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


Simplifying
2y + 5 = 3y + -2

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

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

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

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

Combine like terms: 3y + -3y = 0
5 + -1y = -2 + 0
5 + -1y = -2

Add '-5' to each side of the equation.
5 + -5 + -1y = -2 + -5

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

Combine like terms: -2 + -5 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7

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