.4(y+12)=-1.2(y+1)

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Solution for .4(y+12)=-1.2(y+1) equation: 


Simplifying
0.4(y + 12) = -1.2(y + 1)

Reorder the terms:
0.4(12 + y) = -1.2(y + 1)
(12 * 0.4 + y * 0.4) = -1.2(y + 1)
(4.8 + 0.4y) = -1.2(y + 1)

Reorder the terms:
4.8 + 0.4y = -1.2(1 + y)
4.8 + 0.4y = (1 * -1.2 + y * -1.2)
4.8 + 0.4y = (-1.2 + -1.2y)

Solving
4.8 + 0.4y = -1.2 + -1.2y

Solving for variable 'y'.

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

Add '1.2y' to each side of the equation.
4.8 + 0.4y + 1.2y = -1.2 + -1.2y + 1.2y

Combine like terms: 0.4y + 1.2y = 1.6y
4.8 + 1.6y = -1.2 + -1.2y + 1.2y

Combine like terms: -1.2y + 1.2y = 0.0
4.8 + 1.6y = -1.2 + 0.0
4.8 + 1.6y = -1.2

Add '-4.8' to each side of the equation.
4.8 + -4.8 + 1.6y = -1.2 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 1.6y = -1.2 + -4.8
1.6y = -1.2 + -4.8

Combine like terms: -1.2 + -4.8 = -6
1.6y = -6

Divide each side by '1.6'.
y = -3.75

Simplifying
y = -3.75

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