2y+15=5y-3

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


Simplifying
2y + 15 = 5y + -3

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

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

Solving
15 + 2y = -3 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
15 + 2y + -5y = -3 + 5y + -5y

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

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

Add '-15' to each side of the equation.
15 + -15 + -3y = -3 + -15

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

Combine like terms: -3 + -15 = -18
-3y = -18

Divide each side by '-3'.
y = 6

Simplifying
y = 6

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