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

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


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

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

Combine like terms: 5y + -2y = 3y
2 + 3y = 2(2y + -1)

Reorder the terms:
2 + 3y = 2(-1 + 2y)
2 + 3y = (-1 * 2 + 2y * 2)
2 + 3y = (-2 + 4y)

Solving
2 + 3y = -2 + 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.
2 + 3y + -4y = -2 + 4y + -4y

Combine like terms: 3y + -4y = -1y
2 + -1y = -2 + 4y + -4y

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

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

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

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

Divide each side by '-1'.
y = 4

Simplifying
y = 4

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