0.4(y+5)=0.5(y-2)

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Solution for 0.4(y+5)=0.5(y-2) equation: 


Simplifying
0.4(y + 5) = 0.5(y + -2)

Reorder the terms:
0.4(5 + y) = 0.5(y + -2)
(5 * 0.4 + y * 0.4) = 0.5(y + -2)
(2 + 0.4y) = 0.5(y + -2)

Reorder the terms:
2 + 0.4y = 0.5(-2 + y)
2 + 0.4y = (-2 * 0.5 + y * 0.5)
2 + 0.4y = (-1 + 0.5y)

Solving
2 + 0.4y = -1 + 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.
2 + 0.4y + -0.5y = -1 + 0.5y + -0.5y

Combine like terms: 0.4y + -0.5y = -0.1y
2 + -0.1y = -1 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
2 + -0.1y = -1 + 0.0
2 + -0.1y = -1

Add '-2' to each side of the equation.
2 + -2 + -0.1y = -1 + -2

Combine like terms: 2 + -2 = 0
0 + -0.1y = -1 + -2
-0.1y = -1 + -2

Combine like terms: -1 + -2 = -3
-0.1y = -3

Divide each side by '-0.1'.
y = 30

Simplifying
y = 30

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