3(1.2y-.8)=-(y-.15)

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Solution for 3(1.2y-.8)=-(y-.15) equation:


Simplifying
3(1.2y + -0.8) = -1(y + -0.15)

Reorder the terms:
3(-0.8 + 1.2y) = -1(y + -0.15)
(-0.8 * 3 + 1.2y * 3) = -1(y + -0.15)
(-2.4 + 3.6y) = -1(y + -0.15)

Reorder the terms:
-2.4 + 3.6y = -1(-0.15 + y)
-2.4 + 3.6y = (-0.15 * -1 + y * -1)
-2.4 + 3.6y = (0.15 + -1y)

Solving
-2.4 + 3.6y = 0.15 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-2.4 + 3.6y + y = 0.15 + -1y + y

Combine like terms: 3.6y + y = 4.6y
-2.4 + 4.6y = 0.15 + -1y + y

Combine like terms: -1y + y = 0
-2.4 + 4.6y = 0.15 + 0
-2.4 + 4.6y = 0.15

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 4.6y = 0.15 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 4.6y = 0.15 + 2.4
4.6y = 0.15 + 2.4

Combine like terms: 0.15 + 2.4 = 2.55
4.6y = 2.55

Divide each side by '4.6'.
y = 0.5543478261

Simplifying
y = 0.5543478261

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