(4y-5)=(2y+5)

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


Simplifying
(4y + -5) = (2y + 5)

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

Remove parenthesis around (-5 + 4y)
-5 + 4y = (2y + 5)

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

Remove parenthesis around (5 + 2y)
-5 + 4y = 5 + 2y

Solving
-5 + 4y = 5 + 2y

Solving for variable 'y'.

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

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

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

Combine like terms: 2y + -2y = 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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