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

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


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

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

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

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

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

Combine like terms: 5y + -5y = 0
-2 + -1y = -4 + 0
-2 + -1y = -4

Add '2' to each side of the equation.
-2 + 2 + -1y = -4 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = -4 + 2
-1y = -4 + 2

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

Divide each side by '-1'.
y = 2

Simplifying
y = 2

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