2y-5=-3y+15

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Solution for 2y-5=-3y+15 equation:


Simplifying
2y + -5 = -3y + 15

Reorder the terms:
-5 + 2y = -3y + 15

Reorder the terms:
-5 + 2y = 15 + -3y

Solving
-5 + 2y = 15 + -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 = 15 + -3y + 3y

Combine like terms: 2y + 3y = 5y
-5 + 5y = 15 + -3y + 3y

Combine like terms: -3y + 3y = 0
-5 + 5y = 15 + 0
-5 + 5y = 15

Add '5' to each side of the equation.
-5 + 5 + 5y = 15 + 5

Combine like terms: -5 + 5 = 0
0 + 5y = 15 + 5
5y = 15 + 5

Combine like terms: 15 + 5 = 20
5y = 20

Divide each side by '5'.
y = 4

Simplifying
y = 4

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