-5.8(3y+5)-2.4(2y-6)=

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Solution for -5.8(3y+5)-2.4(2y-6)= equation: 


Simplifying
-5.8(3y + 5) + -2.4(2y + -6) = 0

Reorder the terms:
-5.8(5 + 3y) + -2.4(2y + -6) = 0
(5 * -5.8 + 3y * -5.8) + -2.4(2y + -6) = 0
(-29 + -17.4y) + -2.4(2y + -6) = 0

Reorder the terms:
-29 + -17.4y + -2.4(-6 + 2y) = 0
-29 + -17.4y + (-6 * -2.4 + 2y * -2.4) = 0
-29 + -17.4y + (14.4 + -4.8y) = 0

Reorder the terms:
-29 + 14.4 + -17.4y + -4.8y = 0

Combine like terms: -29 + 14.4 = -14.6
-14.6 + -17.4y + -4.8y = 0

Combine like terms: -17.4y + -4.8y = -22.2y
-14.6 + -22.2y = 0

Solving
-14.6 + -22.2y = 0

Solving for variable 'y'.

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

Add '14.6' to each side of the equation.
-14.6 + 14.6 + -22.2y = 0 + 14.6

Combine like terms: -14.6 + 14.6 = 0.0
0.0 + -22.2y = 0 + 14.6
-22.2y = 0 + 14.6

Combine like terms: 0 + 14.6 = 14.6
-22.2y = 14.6

Divide each side by '-22.2'.
y = -0.6576576577

Simplifying
y = -0.6576576577

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