2y+9=4y-5

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


Simplifying
2y + 9 = 4y + -5

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

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

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

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

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

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

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

Combine like terms: -5 + -9 = -14
-2y = -14

Divide each side by '-2'.
y = 7

Simplifying
y = 7

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