-1.4(y-1)=0.4(y+8)

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Solution for -1.4(y-1)=0.4(y+8) equation: 


Simplifying
-1.4(y + -1) = 0.4(y + 8)

Reorder the terms:
-1.4(-1 + y) = 0.4(y + 8)
(-1 * -1.4 + y * -1.4) = 0.4(y + 8)
(1.4 + -1.4y) = 0.4(y + 8)

Reorder the terms:
1.4 + -1.4y = 0.4(8 + y)
1.4 + -1.4y = (8 * 0.4 + y * 0.4)
1.4 + -1.4y = (3.2 + 0.4y)

Solving
1.4 + -1.4y = 3.2 + 0.4y

Solving for variable 'y'.

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

Add '-0.4y' to each side of the equation.
1.4 + -1.4y + -0.4y = 3.2 + 0.4y + -0.4y

Combine like terms: -1.4y + -0.4y = -1.8y
1.4 + -1.8y = 3.2 + 0.4y + -0.4y

Combine like terms: 0.4y + -0.4y = 0.0
1.4 + -1.8y = 3.2 + 0.0
1.4 + -1.8y = 3.2

Add '-1.4' to each side of the equation.
1.4 + -1.4 + -1.8y = 3.2 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + -1.8y = 3.2 + -1.4
-1.8y = 3.2 + -1.4

Combine like terms: 3.2 + -1.4 = 1.8
-1.8y = 1.8

Divide each side by '-1.8'.
y = -1

Simplifying
y = -1

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