-5.7(2y+5)-2.4(3y-6)=0

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Solution for -5.7(2y+5)-2.4(3y-6)=0 equation: 


Simplifying
-5.7(2y + 5) + -2.4(3y + -6) = 0

Reorder the terms:
-5.7(5 + 2y) + -2.4(3y + -6) = 0
(5 * -5.7 + 2y * -5.7) + -2.4(3y + -6) = 0
(-28.5 + -11.4y) + -2.4(3y + -6) = 0

Reorder the terms:
-28.5 + -11.4y + -2.4(-6 + 3y) = 0
-28.5 + -11.4y + (-6 * -2.4 + 3y * -2.4) = 0
-28.5 + -11.4y + (14.4 + -7.2y) = 0

Reorder the terms:
-28.5 + 14.4 + -11.4y + -7.2y = 0

Combine like terms: -28.5 + 14.4 = -14.1
-14.1 + -11.4y + -7.2y = 0

Combine like terms: -11.4y + -7.2y = -18.6y
-14.1 + -18.6y = 0

Solving
-14.1 + -18.6y = 0

Solving for variable 'y'.

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

Add '14.1' to each side of the equation.
-14.1 + 14.1 + -18.6y = 0 + 14.1

Combine like terms: -14.1 + 14.1 = 0.0
0.0 + -18.6y = 0 + 14.1
-18.6y = 0 + 14.1

Combine like terms: 0 + 14.1 = 14.1
-18.6y = 14.1

Divide each side by '-18.6'.
y = -0.7580645161

Simplifying
y = -0.7580645161

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