.40(12+y)=6-.25(9-y)

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Solution for .40(12+y)=6-.25(9-y) equation: 


Simplifying
0.40(12 + y) = 6 + -0.25(9 + -1y)
(12 * 0.40 + y * 0.40) = 6 + -0.25(9 + -1y)
(4.8 + 0.40y) = 6 + -0.25(9 + -1y)
4.8 + 0.40y = 6 + (9 * -0.25 + -1y * -0.25)
4.8 + 0.40y = 6 + (-2.25 + 0.25y)

Combine like terms: 6 + -2.25 = 3.75
4.8 + 0.40y = 3.75 + 0.25y

Solving
4.8 + 0.40y = 3.75 + 0.25y

Solving for variable 'y'.

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

Add '-0.25y' to each side of the equation.
4.8 + 0.40y + -0.25y = 3.75 + 0.25y + -0.25y

Combine like terms: 0.40y + -0.25y = 0.15y
4.8 + 0.15y = 3.75 + 0.25y + -0.25y

Combine like terms: 0.25y + -0.25y = 0.00
4.8 + 0.15y = 3.75 + 0.00
4.8 + 0.15y = 3.75

Add '-4.8' to each side of the equation.
4.8 + -4.8 + 0.15y = 3.75 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 0.15y = 3.75 + -4.8
0.15y = 3.75 + -4.8

Combine like terms: 3.75 + -4.8 = -1.05
0.15y = -1.05

Divide each side by '0.15'.
y = -7

Simplifying
y = -7

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