y=3(.5y-2.5)-1

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Solution for y=3(.5y-2.5)-1 equation: 


Simplifying
y = 3(0.5y + -2.5) + -1

Reorder the terms:
y = 3(-2.5 + 0.5y) + -1
y = (-2.5 * 3 + 0.5y * 3) + -1
y = (-7.5 + 1.5y) + -1

Reorder the terms:
y = -7.5 + -1 + 1.5y

Combine like terms: -7.5 + -1 = -8.5
y = -8.5 + 1.5y

Solving
y = -8.5 + 1.5y

Solving for variable 'y'.

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

Add '-1.5y' to each side of the equation.
y + -1.5y = -8.5 + 1.5y + -1.5y

Combine like terms: y + -1.5y = -0.5y
-0.5y = -8.5 + 1.5y + -1.5y

Combine like terms: 1.5y + -1.5y = 0.0
-0.5y = -8.5 + 0.0
-0.5y = -8.5

Divide each side by '-0.5'.
y = 17

Simplifying
y = 17

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