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

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


Simplifying
0.4(y + 2) = 0.5(y + -4)

Reorder the terms:
0.4(2 + y) = 0.5(y + -4)
(2 * 0.4 + y * 0.4) = 0.5(y + -4)
(0.8 + 0.4y) = 0.5(y + -4)

Reorder the terms:
0.8 + 0.4y = 0.5(-4 + y)
0.8 + 0.4y = (-4 * 0.5 + y * 0.5)
0.8 + 0.4y = (-2 + 0.5y)

Solving
0.8 + 0.4y = -2 + 0.5y

Solving for variable 'y'.

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

Add '-0.5y' to each side of the equation.
0.8 + 0.4y + -0.5y = -2 + 0.5y + -0.5y

Combine like terms: 0.4y + -0.5y = -0.1y
0.8 + -0.1y = -2 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
0.8 + -0.1y = -2 + 0.0
0.8 + -0.1y = -2

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -0.1y = -2 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.1y = -2 + -0.8
-0.1y = -2 + -0.8

Combine like terms: -2 + -0.8 = -2.8
-0.1y = -2.8

Divide each side by '-0.1'.
y = 28

Simplifying
y = 28

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