-0.5(4y+1)=0.5(-5-2y)

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Solution for -0.5(4y+1)=0.5(-5-2y) equation: 


Simplifying
-0.5(4y + 1) = 0.5(-5 + -2y)

Reorder the terms:
-0.5(1 + 4y) = 0.5(-5 + -2y)
(1 * -0.5 + 4y * -0.5) = 0.5(-5 + -2y)
(-0.5 + -2y) = 0.5(-5 + -2y)
-0.5 + -2y = (-5 * 0.5 + -2y * 0.5)
-0.5 + -2y = (-2.5 + -1y)

Solving
-0.5 + -2y = -2.5 + -1y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add 'y' to each side of the equation.
-0.5 + -2y + y = -2.5 + -1y + y

Combine like terms: -2y + y = -1y
-0.5 + -1y = -2.5 + -1y + y

Combine like terms: -1y + y = 0
-0.5 + -1y = -2.5 + 0
-0.5 + -1y = -2.5

Add '0.5' to each side of the equation.
-0.5 + 0.5 + -1y = -2.5 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + -1y = -2.5 + 0.5
-1y = -2.5 + 0.5

Combine like terms: -2.5 + 0.5 = -2
-1y = -2

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

Simplifying
y = 2

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