0.4(y+3)=0.5(y-4)

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Solution for 0.4(y+3)=0.5(y-4) equation: 


Simplifying
0.4(y + 3) = 0.5(y + -4)

Reorder the terms:
0.4(3 + y) = 0.5(y + -4)
(3 * 0.4 + y * 0.4) = 0.5(y + -4)
(1.2 + 0.4y) = 0.5(y + -4)

Reorder the terms:
1.2 + 0.4y = 0.5(-4 + y)
1.2 + 0.4y = (-4 * 0.5 + y * 0.5)
1.2 + 0.4y = (-2 + 0.5y)

Solving
1.2 + 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.
1.2 + 0.4y + -0.5y = -2 + 0.5y + -0.5y

Combine like terms: 0.4y + -0.5y = -0.1y
1.2 + -0.1y = -2 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
1.2 + -0.1y = -2 + 0.0
1.2 + -0.1y = -2

Add '-1.2' to each side of the equation.
1.2 + -1.2 + -0.1y = -2 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -0.1y = -2 + -1.2
-0.1y = -2 + -1.2

Combine like terms: -2 + -1.2 = -3.2
-0.1y = -3.2

Divide each side by '-0.1'.
y = 32

Simplifying
y = 32

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