.5(y+5)=1.5-y

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Solution for .5(y+5)=1.5-y equation: 


Simplifying
0.5(y + 5) = 1.5 + -1y

Reorder the terms:
0.5(5 + y) = 1.5 + -1y
(5 * 0.5 + y * 0.5) = 1.5 + -1y
(2.5 + 0.5y) = 1.5 + -1y

Solving
2.5 + 0.5y = 1.5 + -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.
2.5 + 0.5y + y = 1.5 + -1y + y

Combine like terms: 0.5y + y = 1.5y
2.5 + 1.5y = 1.5 + -1y + y

Combine like terms: -1y + y = 0
2.5 + 1.5y = 1.5 + 0
2.5 + 1.5y = 1.5

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

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 1.5y = 1.5 + -2.5
1.5y = 1.5 + -2.5

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

Divide each side by '1.5'.
y = -0.6666666667

Simplifying
y = -0.6666666667

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