2y-5=4y-9

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


Simplifying
2y + -5 = 4y + -9

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

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

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

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-5 + 2y + -4y = -9 + 4y + -4y

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

Combine like terms: 4y + -4y = 0
-5 + -2y = -9 + 0
-5 + -2y = -9

Add '5' to each side of the equation.
-5 + 5 + -2y = -9 + 5

Combine like terms: -5 + 5 = 0
0 + -2y = -9 + 5
-2y = -9 + 5

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

Divide each side by '-2'.
y = 2

Simplifying
y = 2

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