2y+4=5y-9

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Solution for 2y+4=5y-9 equation:


Simplifying
2y + 4 = 5y + -9

Reorder the terms:
4 + 2y = 5y + -9

Reorder the terms:
4 + 2y = -9 + 5y

Solving
4 + 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.
4 + 2y + -5y = -9 + 5y + -5y

Combine like terms: 2y + -5y = -3y
4 + -3y = -9 + 5y + -5y

Combine like terms: 5y + -5y = 0
4 + -3y = -9 + 0
4 + -3y = -9

Add '-4' to each side of the equation.
4 + -4 + -3y = -9 + -4

Combine like terms: 4 + -4 = 0
0 + -3y = -9 + -4
-3y = -9 + -4

Combine like terms: -9 + -4 = -13
-3y = -13

Divide each side by '-3'.
y = 4.333333333

Simplifying
y = 4.333333333

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