-6.1(3y+5)-1.7(4y-6)=

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Solution for -6.1(3y+5)-1.7(4y-6)= equation: 


Simplifying
-6.1(3y + 5) + -1.7(4y + -6) = 0

Reorder the terms:
-6.1(5 + 3y) + -1.7(4y + -6) = 0
(5 * -6.1 + 3y * -6.1) + -1.7(4y + -6) = 0
(-30.5 + -18.3y) + -1.7(4y + -6) = 0

Reorder the terms:
-30.5 + -18.3y + -1.7(-6 + 4y) = 0
-30.5 + -18.3y + (-6 * -1.7 + 4y * -1.7) = 0
-30.5 + -18.3y + (10.2 + -6.8y) = 0

Reorder the terms:
-30.5 + 10.2 + -18.3y + -6.8y = 0

Combine like terms: -30.5 + 10.2 = -20.3
-20.3 + -18.3y + -6.8y = 0

Combine like terms: -18.3y + -6.8y = -25.1y
-20.3 + -25.1y = 0

Solving
-20.3 + -25.1y = 0

Solving for variable 'y'.

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

Add '20.3' to each side of the equation.
-20.3 + 20.3 + -25.1y = 0 + 20.3

Combine like terms: -20.3 + 20.3 = 0.0
0.0 + -25.1y = 0 + 20.3
-25.1y = 0 + 20.3

Combine like terms: 0 + 20.3 = 20.3
-25.1y = 20.3

Divide each side by '-25.1'.
y = -0.8087649402

Simplifying
y = -0.8087649402

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