2y+5=4y-5

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


Simplifying
2y + 5 = 4y + -5

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

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

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

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

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

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

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

Combine like terms: -5 + -5 = -10
-2y = -10

Divide each side by '-2'.
y = 5

Simplifying
y = 5

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