(3.4)y-(5.2)y-7.8=17.16

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Solution for (3.4)y-(5.2)y-7.8=17.16 equation: 


Simplifying
(3.4) * y + -1(5.2) * y + -7.8 = 17.16

Multiply -1 * 5.2
3.4y + -5.2y + -7.8 = 17.16

Reorder the terms:
-7.8 + 3.4y + -5.2y = 17.16

Combine like terms: 3.4y + -5.2y = -1.8y
-7.8 + -1.8y = 17.16

Solving
-7.8 + -1.8y = 17.16

Solving for variable 'y'.

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

Add '7.8' to each side of the equation.
-7.8 + 7.8 + -1.8y = 17.16 + 7.8

Combine like terms: -7.8 + 7.8 = 0.0
0.0 + -1.8y = 17.16 + 7.8
-1.8y = 17.16 + 7.8

Combine like terms: 17.16 + 7.8 = 24.96
-1.8y = 24.96

Divide each side by '-1.8'.
y = -13.86666667

Simplifying
y = -13.86666667

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