4y-1=2(y-2)

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


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

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

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

Solving
-1 + 4y = -4 + 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.
-1 + 4y + -2y = -4 + 2y + -2y

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

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

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

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

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

Divide each side by '2'.
y = -1.5

Simplifying
y = -1.5

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