-6.7(2y+5)-1.3(4y-6)=

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Solution for -6.7(2y+5)-1.3(4y-6)= equation: 


Simplifying
-6.7(2y + 5) + -1.3(4y + -6) = 0

Reorder the terms:
-6.7(5 + 2y) + -1.3(4y + -6) = 0
(5 * -6.7 + 2y * -6.7) + -1.3(4y + -6) = 0
(-33.5 + -13.4y) + -1.3(4y + -6) = 0

Reorder the terms:
-33.5 + -13.4y + -1.3(-6 + 4y) = 0
-33.5 + -13.4y + (-6 * -1.3 + 4y * -1.3) = 0
-33.5 + -13.4y + (7.8 + -5.2y) = 0

Reorder the terms:
-33.5 + 7.8 + -13.4y + -5.2y = 0

Combine like terms: -33.5 + 7.8 = -25.7
-25.7 + -13.4y + -5.2y = 0

Combine like terms: -13.4y + -5.2y = -18.6y
-25.7 + -18.6y = 0

Solving
-25.7 + -18.6y = 0

Solving for variable 'y'.

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

Add '25.7' to each side of the equation.
-25.7 + 25.7 + -18.6y = 0 + 25.7

Combine like terms: -25.7 + 25.7 = 0.0
0.0 + -18.6y = 0 + 25.7
-18.6y = 0 + 25.7

Combine like terms: 0 + 25.7 = 25.7
-18.6y = 25.7

Divide each side by '-18.6'.
y = -1.38172043

Simplifying
y = -1.38172043

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