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

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


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

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

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

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

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

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

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

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

Divide each side by '-2'.
y = 2.5

Simplifying
y = 2.5

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