6(y-20)+4(10-2Y)=0

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Solution for 6(y-20)+4(10-2Y)=0 equation: 


Simplifying
6(y + -20) + 4(10 + -2Y) = 0

Reorder the terms:
6(-20 + y) + 4(10 + -2Y) = 0
(-20 * 6 + y * 6) + 4(10 + -2Y) = 0
(-120 + 6y) + 4(10 + -2Y) = 0
-120 + 6y + (10 * 4 + -2Y * 4) = 0
-120 + 6y + (40 + -8Y) = 0

Reorder the terms:
-120 + 40 + -8Y + 6y = 0

Combine like terms: -120 + 40 = -80
-80 + -8Y + 6y = 0

Solving
-80 + -8Y + 6y = 0

Solving for variable 'Y'.

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

Add '80' to each side of the equation.
-80 + -8Y + 80 + 6y = 0 + 80

Reorder the terms:
-80 + 80 + -8Y + 6y = 0 + 80

Combine like terms: -80 + 80 = 0
0 + -8Y + 6y = 0 + 80
-8Y + 6y = 0 + 80

Combine like terms: 0 + 80 = 80
-8Y + 6y = 80

Add '-6y' to each side of the equation.
-8Y + 6y + -6y = 80 + -6y

Combine like terms: 6y + -6y = 0
-8Y + 0 = 80 + -6y
-8Y = 80 + -6y

Divide each side by '-8'.
Y = -10 + 0.75y

Simplifying
Y = -10 + 0.75y

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