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

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


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

Reorder the terms:
1.5(-1.5 + y) = 2.5(y + -0.5)
(-1.5 * 1.5 + y * 1.5) = 2.5(y + -0.5)
(-2.25 + 1.5y) = 2.5(y + -0.5)

Reorder the terms:
-2.25 + 1.5y = 2.5(-0.5 + y)
-2.25 + 1.5y = (-0.5 * 2.5 + y * 2.5)
-2.25 + 1.5y = (-1.25 + 2.5y)

Solving
-2.25 + 1.5y = -1.25 + 2.5y

Solving for variable 'y'.

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

Add '-2.5y' to each side of the equation.
-2.25 + 1.5y + -2.5y = -1.25 + 2.5y + -2.5y

Combine like terms: 1.5y + -2.5y = -1y
-2.25 + -1y = -1.25 + 2.5y + -2.5y

Combine like terms: 2.5y + -2.5y = 0.0
-2.25 + -1y = -1.25 + 0.0
-2.25 + -1y = -1.25

Add '2.25' to each side of the equation.
-2.25 + 2.25 + -1y = -1.25 + 2.25

Combine like terms: -2.25 + 2.25 = 0.00
0.00 + -1y = -1.25 + 2.25
-1y = -1.25 + 2.25

Combine like terms: -1.25 + 2.25 = 1
-1y = 1

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

Simplifying
y = -1

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