-0.3(y+6)=2.4(y-1)

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Solution for -0.3(y+6)=2.4(y-1) equation: 


Simplifying
-0.3(y + 6) = 2.4(y + -1)

Reorder the terms:
-0.3(6 + y) = 2.4(y + -1)
(6 * -0.3 + y * -0.3) = 2.4(y + -1)
(-1.8 + -0.3y) = 2.4(y + -1)

Reorder the terms:
-1.8 + -0.3y = 2.4(-1 + y)
-1.8 + -0.3y = (-1 * 2.4 + y * 2.4)
-1.8 + -0.3y = (-2.4 + 2.4y)

Solving
-1.8 + -0.3y = -2.4 + 2.4y

Solving for variable 'y'.

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

Add '-2.4y' to each side of the equation.
-1.8 + -0.3y + -2.4y = -2.4 + 2.4y + -2.4y

Combine like terms: -0.3y + -2.4y = -2.7y
-1.8 + -2.7y = -2.4 + 2.4y + -2.4y

Combine like terms: 2.4y + -2.4y = 0.0
-1.8 + -2.7y = -2.4 + 0.0
-1.8 + -2.7y = -2.4

Add '1.8' to each side of the equation.
-1.8 + 1.8 + -2.7y = -2.4 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + -2.7y = -2.4 + 1.8
-2.7y = -2.4 + 1.8

Combine like terms: -2.4 + 1.8 = -0.6
-2.7y = -0.6

Divide each side by '-2.7'.
y = 0.2222222222

Simplifying
y = 0.2222222222

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