y=4(5+.5y)-2

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Solution for y=4(5+.5y)-2 equation: 


Simplifying
y = 4(5 + 0.5y) + -2
y = (5 * 4 + 0.5y * 4) + -2
y = (20 + 2y) + -2

Reorder the terms:
y = 20 + -2 + 2y

Combine like terms: 20 + -2 = 18
y = 18 + 2y

Solving
y = 18 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
y + -2y = 18 + 2y + -2y

Combine like terms: y + -2y = -1y
-1y = 18 + 2y + -2y

Combine like terms: 2y + -2y = 0
-1y = 18 + 0
-1y = 18

Divide each side by '-1'.
y = -18

Simplifying
y = -18

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