0.5(3y+1.5)=0.25(y-1)

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Solution for 0.5(3y+1.5)=0.25(y-1) equation: 


Simplifying
0.5(3y + 1.5) = 0.25(y + -1)

Reorder the terms:
0.5(1.5 + 3y) = 0.25(y + -1)
(1.5 * 0.5 + 3y * 0.5) = 0.25(y + -1)
(0.75 + 1.5y) = 0.25(y + -1)

Reorder the terms:
0.75 + 1.5y = 0.25(-1 + y)
0.75 + 1.5y = (-1 * 0.25 + y * 0.25)
0.75 + 1.5y = (-0.25 + 0.25y)

Solving
0.75 + 1.5y = -0.25 + 0.25y

Solving for variable 'y'.

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

Add '-0.25y' to each side of the equation.
0.75 + 1.5y + -0.25y = -0.25 + 0.25y + -0.25y

Combine like terms: 1.5y + -0.25y = 1.25y
0.75 + 1.25y = -0.25 + 0.25y + -0.25y

Combine like terms: 0.25y + -0.25y = 0.00
0.75 + 1.25y = -0.25 + 0.00
0.75 + 1.25y = -0.25

Add '-0.75' to each side of the equation.
0.75 + -0.75 + 1.25y = -0.25 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 1.25y = -0.25 + -0.75
1.25y = -0.25 + -0.75

Combine like terms: -0.25 + -0.75 = -1
1.25y = -1

Divide each side by '1.25'.
y = -0.8

Simplifying
y = -0.8

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