y+1.4y-1.8=3.5(y+6.4)

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Solution for y+1.4y-1.8=3.5(y+6.4) equation: 


Simplifying
y + 1.4y + -1.8 = 3.5(y + 6.4)

Reorder the terms:
-1.8 + y + 1.4y = 3.5(y + 6.4)

Combine like terms: y + 1.4y = 2.4y
-1.8 + 2.4y = 3.5(y + 6.4)

Reorder the terms:
-1.8 + 2.4y = 3.5(6.4 + y)
-1.8 + 2.4y = (6.4 * 3.5 + y * 3.5)
-1.8 + 2.4y = (22.4 + 3.5y)

Solving
-1.8 + 2.4y = 22.4 + 3.5y

Solving for variable 'y'.

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

Add '-3.5y' to each side of the equation.
-1.8 + 2.4y + -3.5y = 22.4 + 3.5y + -3.5y

Combine like terms: 2.4y + -3.5y = -1.1y
-1.8 + -1.1y = 22.4 + 3.5y + -3.5y

Combine like terms: 3.5y + -3.5y = 0.0
-1.8 + -1.1y = 22.4 + 0.0
-1.8 + -1.1y = 22.4

Add '1.8' to each side of the equation.
-1.8 + 1.8 + -1.1y = 22.4 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + -1.1y = 22.4 + 1.8
-1.1y = 22.4 + 1.8

Combine like terms: 22.4 + 1.8 = 24.2
-1.1y = 24.2

Divide each side by '-1.1'.
y = -22

Simplifying
y = -22

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