y+0.7y-1=3(y-6.4)

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Solution for y+0.7y-1=3(y-6.4) equation:


Simplifying
y + 0.7y + -1 = 3(y + -6.4)

Reorder the terms:
-1 + y + 0.7y = 3(y + -6.4)

Combine like terms: y + 0.7y = 1.7y
-1 + 1.7y = 3(y + -6.4)

Reorder the terms:
-1 + 1.7y = 3(-6.4 + y)
-1 + 1.7y = (-6.4 * 3 + y * 3)
-1 + 1.7y = (-19.2 + 3y)

Solving
-1 + 1.7y = -19.2 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-1 + 1.7y + -3y = -19.2 + 3y + -3y

Combine like terms: 1.7y + -3y = -1.3y
-1 + -1.3y = -19.2 + 3y + -3y

Combine like terms: 3y + -3y = 0
-1 + -1.3y = -19.2 + 0
-1 + -1.3y = -19.2

Add '1' to each side of the equation.
-1 + 1 + -1.3y = -19.2 + 1

Combine like terms: -1 + 1 = 0
0 + -1.3y = -19.2 + 1
-1.3y = -19.2 + 1

Combine like terms: -19.2 + 1 = -18.2
-1.3y = -18.2

Divide each side by '-1.3'.
y = 14

Simplifying
y = 14

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