2y+3=5y-9

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Solution for 2y+3=5y-9 equation:


Simplifying
2y + 3 = 5y + -9

Reorder the terms:
3 + 2y = 5y + -9

Reorder the terms:
3 + 2y = -9 + 5y

Solving
3 + 2y = -9 + 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.
3 + 2y + -5y = -9 + 5y + -5y

Combine like terms: 2y + -5y = -3y
3 + -3y = -9 + 5y + -5y

Combine like terms: 5y + -5y = 0
3 + -3y = -9 + 0
3 + -3y = -9

Add '-3' to each side of the equation.
3 + -3 + -3y = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -3y = -9 + -3
-3y = -9 + -3

Combine like terms: -9 + -3 = -12
-3y = -12

Divide each side by '-3'.
y = 4

Simplifying
y = 4

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