(.5)(y+3)+(.75)(y+5)=y-8

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Solution for (.5)(y+3)+(.75)(y+5)=y-8 equation: 


Simplifying
(0.5)(y + 3) + (0.75)(y + 5) = y + -8

Reorder the terms:
0.5(3 + y) + (0.75)(y + 5) = y + -8
(3 * 0.5 + y * 0.5) + (0.75)(y + 5) = y + -8
(1.5 + 0.5y) + (0.75)(y + 5) = y + -8

Reorder the terms:
1.5 + 0.5y + 0.75(5 + y) = y + -8
1.5 + 0.5y + (5 * 0.75 + y * 0.75) = y + -8
1.5 + 0.5y + (3.75 + 0.75y) = y + -8

Reorder the terms:
1.5 + 3.75 + 0.5y + 0.75y = y + -8

Combine like terms: 1.5 + 3.75 = 5.25
5.25 + 0.5y + 0.75y = y + -8

Combine like terms: 0.5y + 0.75y = 1.25y
5.25 + 1.25y = y + -8

Reorder the terms:
5.25 + 1.25y = -8 + y

Solving
5.25 + 1.25y = -8 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
5.25 + 1.25y + -1y = -8 + y + -1y

Combine like terms: 1.25y + -1y = 0.25y
5.25 + 0.25y = -8 + y + -1y

Combine like terms: y + -1y = 0
5.25 + 0.25y = -8 + 0
5.25 + 0.25y = -8

Add '-5.25' to each side of the equation.
5.25 + -5.25 + 0.25y = -8 + -5.25

Combine like terms: 5.25 + -5.25 = 0.00
0.00 + 0.25y = -8 + -5.25
0.25y = -8 + -5.25

Combine like terms: -8 + -5.25 = -13.25
0.25y = -13.25

Divide each side by '0.25'.
y = -53

Simplifying
y = -53

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