2(y-0.5)=4(y+0.25)

Solution for 2(y-0.5)=4(y+0.25) equation:

Simplifying
2(y + -0.5) = 4(y + 0.25)

Reorder the terms:
2(-0.5 + y) = 4(y + 0.25)
(-0.5 * 2 + y * 2) = 4(y + 0.25)
(-1 + 2y) = 4(y + 0.25)

Reorder the terms:
-1 + 2y = 4(0.25 + y)
-1 + 2y = (0.25 * 4 + y * 4)
-1 + 2y = (1 + 4y)

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

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

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

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

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

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

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

Simplifying
y = -1