20=.5*(3x+152-y)

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Solution for 20=.5*(3x+152-y) equation: 


Simplifying
20 = 0.5(3x + 152 + -1y)

Reorder the terms:
20 = 0.5(152 + 3x + -1y)
20 = (152 * 0.5 + 3x * 0.5 + -1y * 0.5)
20 = (76 + 1.5x + -0.5y)

Solving
20 = 76 + 1.5x + -0.5y

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
20 + -1.5x = 76 + 1.5x + -1.5x + -0.5y

Combine like terms: 1.5x + -1.5x = 0.0
20 + -1.5x = 76 + 0.0 + -0.5y
20 + -1.5x = 76 + -0.5y

Add '-20' to each side of the equation.
20 + -20 + -1.5x = 76 + -20 + -0.5y

Combine like terms: 20 + -20 = 0
0 + -1.5x = 76 + -20 + -0.5y
-1.5x = 76 + -20 + -0.5y

Combine like terms: 76 + -20 = 56
-1.5x = 56 + -0.5y

Divide each side by '-1.5'.
x = -37.33333333 + 0.3333333333y

Simplifying
x = -37.33333333 + 0.3333333333y

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