y+1.4y+1.2=5(y-3.4)

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Solution for y+1.4y+1.2=5(y-3.4) equation: 


Simplifying
y + 1.4y + 1.2 = 5(y + -3.4)

Reorder the terms:
1.2 + y + 1.4y = 5(y + -3.4)

Combine like terms: y + 1.4y = 2.4y
1.2 + 2.4y = 5(y + -3.4)

Reorder the terms:
1.2 + 2.4y = 5(-3.4 + y)
1.2 + 2.4y = (-3.4 * 5 + y * 5)
1.2 + 2.4y = (-17 + 5y)

Solving
1.2 + 2.4y = -17 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
1.2 + 2.4y + -5y = -17 + 5y + -5y

Combine like terms: 2.4y + -5y = -2.6y
1.2 + -2.6y = -17 + 5y + -5y

Combine like terms: 5y + -5y = 0
1.2 + -2.6y = -17 + 0
1.2 + -2.6y = -17

Add '-1.2' to each side of the equation.
1.2 + -1.2 + -2.6y = -17 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -2.6y = -17 + -1.2
-2.6y = -17 + -1.2

Combine like terms: -17 + -1.2 = -18.2
-2.6y = -18.2

Divide each side by '-2.6'.
y = 7

Simplifying
y = 7

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