3.1(y+2)-1.5y=5.2(y-4)

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Solution for 3.1(y+2)-1.5y=5.2(y-4) equation: 


Simplifying
3.1(y + 2) + -1.5y = 5.2(y + -4)

Reorder the terms:
3.1(2 + y) + -1.5y = 5.2(y + -4)
(2 * 3.1 + y * 3.1) + -1.5y = 5.2(y + -4)
(6.2 + 3.1y) + -1.5y = 5.2(y + -4)

Combine like terms: 3.1y + -1.5y = 1.6y
6.2 + 1.6y = 5.2(y + -4)

Reorder the terms:
6.2 + 1.6y = 5.2(-4 + y)
6.2 + 1.6y = (-4 * 5.2 + y * 5.2)
6.2 + 1.6y = (-20.8 + 5.2y)

Solving
6.2 + 1.6y = -20.8 + 5.2y

Solving for variable 'y'.

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

Add '-5.2y' to each side of the equation.
6.2 + 1.6y + -5.2y = -20.8 + 5.2y + -5.2y

Combine like terms: 1.6y + -5.2y = -3.6y
6.2 + -3.6y = -20.8 + 5.2y + -5.2y

Combine like terms: 5.2y + -5.2y = 0.0
6.2 + -3.6y = -20.8 + 0.0
6.2 + -3.6y = -20.8

Add '-6.2' to each side of the equation.
6.2 + -6.2 + -3.6y = -20.8 + -6.2

Combine like terms: 6.2 + -6.2 = 0.0
0.0 + -3.6y = -20.8 + -6.2
-3.6y = -20.8 + -6.2

Combine like terms: -20.8 + -6.2 = -27
-3.6y = -27

Divide each side by '-3.6'.
y = 7.5

Simplifying
y = 7.5

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