1.67(y+2)=.5-y

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Solution for 1.67(y+2)=.5-y equation: 


Simplifying
1.67(y + 2) = 0.5 + -1y

Reorder the terms:
1.67(2 + y) = 0.5 + -1y
(2 * 1.67 + y * 1.67) = 0.5 + -1y
(3.34 + 1.67y) = 0.5 + -1y

Solving
3.34 + 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.
3.34 + 1.67y + y = 0.5 + -1y + y

Combine like terms: 1.67y + y = 2.67y
3.34 + 2.67y = 0.5 + -1y + y

Combine like terms: -1y + y = 0
3.34 + 2.67y = 0.5 + 0
3.34 + 2.67y = 0.5

Add '-3.34' to each side of the equation.
3.34 + -3.34 + 2.67y = 0.5 + -3.34

Combine like terms: 3.34 + -3.34 = 0.00
0.00 + 2.67y = 0.5 + -3.34
2.67y = 0.5 + -3.34

Combine like terms: 0.5 + -3.34 = -2.84
2.67y = -2.84

Divide each side by '2.67'.
y = -1.063670412

Simplifying
y = -1.063670412

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