-5.8(3y+6)+-2.6(2y-5)=

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Solution for -5.8(3y+6)+-2.6(2y-5)= equation: 


Simplifying
-5.8(3y + 6) + -2.6(2y + -5) = 0

Reorder the terms:
-5.8(6 + 3y) + -2.6(2y + -5) = 0
(6 * -5.8 + 3y * -5.8) + -2.6(2y + -5) = 0
(-34.8 + -17.4y) + -2.6(2y + -5) = 0

Reorder the terms:
-34.8 + -17.4y + -2.6(-5 + 2y) = 0
-34.8 + -17.4y + (-5 * -2.6 + 2y * -2.6) = 0
-34.8 + -17.4y + (13 + -5.2y) = 0

Reorder the terms:
-34.8 + 13 + -17.4y + -5.2y = 0

Combine like terms: -34.8 + 13 = -21.8
-21.8 + -17.4y + -5.2y = 0

Combine like terms: -17.4y + -5.2y = -22.6y
-21.8 + -22.6y = 0

Solving
-21.8 + -22.6y = 0

Solving for variable 'y'.

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

Add '21.8' to each side of the equation.
-21.8 + 21.8 + -22.6y = 0 + 21.8

Combine like terms: -21.8 + 21.8 = 0.0
0.0 + -22.6y = 0 + 21.8
-22.6y = 0 + 21.8

Combine like terms: 0 + 21.8 = 21.8
-22.6y = 21.8

Divide each side by '-22.6'.
y = -0.9646017699

Simplifying
y = -0.9646017699

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