0.3(y+4)=0.4(y-5)

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Solution for 0.3(y+4)=0.4(y-5) equation: 


Simplifying
0.3(y + 4) = 0.4(y + -5)

Reorder the terms:
0.3(4 + y) = 0.4(y + -5)
(4 * 0.3 + y * 0.3) = 0.4(y + -5)
(1.2 + 0.3y) = 0.4(y + -5)

Reorder the terms:
1.2 + 0.3y = 0.4(-5 + y)
1.2 + 0.3y = (-5 * 0.4 + y * 0.4)
1.2 + 0.3y = (-2 + 0.4y)

Solving
1.2 + 0.3y = -2 + 0.4y

Solving for variable 'y'.

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

Add '-0.4y' to each side of the equation.
1.2 + 0.3y + -0.4y = -2 + 0.4y + -0.4y

Combine like terms: 0.3y + -0.4y = -0.1y
1.2 + -0.1y = -2 + 0.4y + -0.4y

Combine like terms: 0.4y + -0.4y = 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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