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

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


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

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

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

Combine like terms: 6.2 + -1.5 = 4.7
4.7 + 3.1y = 5.2(y + -4)

Reorder the terms:
4.7 + 3.1y = 5.2(-4 + y)
4.7 + 3.1y = (-4 * 5.2 + y * 5.2)
4.7 + 3.1y = (-20.8 + 5.2y)

Solving
4.7 + 3.1y = -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.
4.7 + 3.1y + -5.2y = -20.8 + 5.2y + -5.2y

Combine like terms: 3.1y + -5.2y = -2.1y
4.7 + -2.1y = -20.8 + 5.2y + -5.2y

Combine like terms: 5.2y + -5.2y = 0.0
4.7 + -2.1y = -20.8 + 0.0
4.7 + -2.1y = -20.8

Add '-4.7' to each side of the equation.
4.7 + -4.7 + -2.1y = -20.8 + -4.7

Combine like terms: 4.7 + -4.7 = 0.0
0.0 + -2.1y = -20.8 + -4.7
-2.1y = -20.8 + -4.7

Combine like terms: -20.8 + -4.7 = -25.5
-2.1y = -25.5

Divide each side by '-2.1'.
y = 12.14285714

Simplifying
y = 12.14285714

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