1.67(y+5)=.5-y

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Solution for 1.67(y+5)=.5-y equation: 


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

Reorder the terms:
1.67(5 + y) = 0.5 + -1y
(5 * 1.67 + y * 1.67) = 0.5 + -1y
(8.35 + 1.67y) = 0.5 + -1y

Solving
8.35 + 1.67y = 0.5 + -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.
8.35 + 1.67y + y = 0.5 + -1y + y

Combine like terms: 1.67y + y = 2.67y
8.35 + 2.67y = 0.5 + -1y + y

Combine like terms: -1y + y = 0
8.35 + 2.67y = 0.5 + 0
8.35 + 2.67y = 0.5

Add '-8.35' to each side of the equation.
8.35 + -8.35 + 2.67y = 0.5 + -8.35

Combine like terms: 8.35 + -8.35 = 0.00
0.00 + 2.67y = 0.5 + -8.35
2.67y = 0.5 + -8.35

Combine like terms: 0.5 + -8.35 = -7.85
2.67y = -7.85

Divide each side by '2.67'.
y = -2.940074906

Simplifying
y = -2.940074906

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