-2.5(y+12)=0.5(y-1.5)

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Solution for -2.5(y+12)=0.5(y-1.5) equation:


Simplifying
-2.5(y + 12) = 0.5(y + -1.5)

Reorder the terms:
-2.5(12 + y) = 0.5(y + -1.5)
(12 * -2.5 + y * -2.5) = 0.5(y + -1.5)
(-30 + -2.5y) = 0.5(y + -1.5)

Reorder the terms:
-30 + -2.5y = 0.5(-1.5 + y)
-30 + -2.5y = (-1.5 * 0.5 + y * 0.5)
-30 + -2.5y = (-0.75 + 0.5y)

Solving
-30 + -2.5y = -0.75 + 0.5y

Solving for variable 'y'.

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

Add '-0.5y' to each side of the equation.
-30 + -2.5y + -0.5y = -0.75 + 0.5y + -0.5y

Combine like terms: -2.5y + -0.5y = -3y
-30 + -3y = -0.75 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
-30 + -3y = -0.75 + 0.0
-30 + -3y = -0.75

Add '30' to each side of the equation.
-30 + 30 + -3y = -0.75 + 30

Combine like terms: -30 + 30 = 0
0 + -3y = -0.75 + 30
-3y = -0.75 + 30

Combine like terms: -0.75 + 30 = 29.25
-3y = 29.25

Divide each side by '-3'.
y = -9.75

Simplifying
y = -9.75

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