2(.5(.65+.5y)-y)=4.6

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Solution for 2(.5(.65+.5y)-y)=4.6 equation: 


Simplifying
2(0.5(0.65 + 0.5y) + -1y) = 4.6
2((0.65 * 0.5 + 0.5y * 0.5) + -1y) = 4.6
2((0.325 + 0.25y) + -1y) = 4.6

Combine like terms: 0.25y + -1y = -0.75y
2(0.325 + -0.75y) = 4.6
(0.325 * 2 + -0.75y * 2) = 4.6
(0.65 + -1.5y) = 4.6

Solving
0.65 + -1.5y = 4.6

Solving for variable 'y'.

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

Add '-0.65' to each side of the equation.
0.65 + -0.65 + -1.5y = 4.6 + -0.65

Combine like terms: 0.65 + -0.65 = 0.00
0.00 + -1.5y = 4.6 + -0.65
-1.5y = 4.6 + -0.65

Combine like terms: 4.6 + -0.65 = 3.95
-1.5y = 3.95

Divide each side by '-1.5'.
y = -2.633333333

Simplifying
y = -2.633333333

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