-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 = 2.1y
-1.8 + 2.1y = 2.4 + -2.4y + 2.4y

Combine like terms: -2.4y + 2.4y = 0.0
-1.8 + 2.1y = 2.4 + 0.0
-1.8 + 2.1y = 2.4

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 2.1y = 2.4 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 2.1y = 2.4 + 1.8
2.1y = 2.4 + 1.8

Combine like terms: 2.4 + 1.8 = 4.2
2.1y = 4.2

Divide each side by '2.1'.
y = 2

Simplifying
y = 2

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