(4y-1)+(2y-1)=5y

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Solution for (4y-1)+(2y-1)=5y equation:


Simplifying
(4y + -1) + (2y + -1) = 5y

Reorder the terms:
(-1 + 4y) + (2y + -1) = 5y

Remove parenthesis around (-1 + 4y)
-1 + 4y + (2y + -1) = 5y

Reorder the terms:
-1 + 4y + (-1 + 2y) = 5y

Remove parenthesis around (-1 + 2y)
-1 + 4y + -1 + 2y = 5y

Reorder the terms:
-1 + -1 + 4y + 2y = 5y

Combine like terms: -1 + -1 = -2
-2 + 4y + 2y = 5y

Combine like terms: 4y + 2y = 6y
-2 + 6y = 5y

Solving
-2 + 6y = 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.
-2 + 6y + -5y = 5y + -5y

Combine like terms: 6y + -5y = 1y
-2 + 1y = 5y + -5y

Combine like terms: 5y + -5y = 0
-2 + 1y = 0

Add '2' to each side of the equation.
-2 + 2 + 1y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 1y = 0 + 2
1y = 0 + 2

Combine like terms: 0 + 2 = 2
1y = 2

Divide each side by '1'.
y = 2

Simplifying
y = 2

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