3(y-3)+2(5+3y)+24(2y-5)+6(5-y)=0

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Solution for 3(y-3)+2(5+3y)+24(2y-5)+6(5-y)=0 equation: 


Simplifying
3(y + -3) + 2(5 + 3y) + 24(2y + -5) + 6(5 + -1y) = 0

Reorder the terms:
3(-3 + y) + 2(5 + 3y) + 24(2y + -5) + 6(5 + -1y) = 0
(-3 * 3 + y * 3) + 2(5 + 3y) + 24(2y + -5) + 6(5 + -1y) = 0
(-9 + 3y) + 2(5 + 3y) + 24(2y + -5) + 6(5 + -1y) = 0
-9 + 3y + (5 * 2 + 3y * 2) + 24(2y + -5) + 6(5 + -1y) = 0
-9 + 3y + (10 + 6y) + 24(2y + -5) + 6(5 + -1y) = 0

Reorder the terms:
-9 + 3y + 10 + 6y + 24(-5 + 2y) + 6(5 + -1y) = 0
-9 + 3y + 10 + 6y + (-5 * 24 + 2y * 24) + 6(5 + -1y) = 0
-9 + 3y + 10 + 6y + (-120 + 48y) + 6(5 + -1y) = 0
-9 + 3y + 10 + 6y + -120 + 48y + (5 * 6 + -1y * 6) = 0
-9 + 3y + 10 + 6y + -120 + 48y + (30 + -6y) = 0

Reorder the terms:
-9 + 10 + -120 + 30 + 3y + 6y + 48y + -6y = 0

Combine like terms: -9 + 10 = 1
1 + -120 + 30 + 3y + 6y + 48y + -6y = 0

Combine like terms: 1 + -120 = -119
-119 + 30 + 3y + 6y + 48y + -6y = 0

Combine like terms: -119 + 30 = -89
-89 + 3y + 6y + 48y + -6y = 0

Combine like terms: 3y + 6y = 9y
-89 + 9y + 48y + -6y = 0

Combine like terms: 9y + 48y = 57y
-89 + 57y + -6y = 0

Combine like terms: 57y + -6y = 51y
-89 + 51y = 0

Solving
-89 + 51y = 0

Solving for variable 'y'.

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

Add '89' to each side of the equation.
-89 + 89 + 51y = 0 + 89

Combine like terms: -89 + 89 = 0
0 + 51y = 0 + 89
51y = 0 + 89

Combine like terms: 0 + 89 = 89
51y = 89

Divide each side by '51'.
y = 1.745098039

Simplifying
y = 1.745098039

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