8y+3(y-6)=5(y+2)-3

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Solution for 8y+3(y-6)=5(y+2)-3 equation: 


Simplifying
8y + 3(y + -6) = 5(y + 2) + -3

Reorder the terms:
8y + 3(-6 + y) = 5(y + 2) + -3
8y + (-6 * 3 + y * 3) = 5(y + 2) + -3
8y + (-18 + 3y) = 5(y + 2) + -3

Reorder the terms:
-18 + 8y + 3y = 5(y + 2) + -3

Combine like terms: 8y + 3y = 11y
-18 + 11y = 5(y + 2) + -3

Reorder the terms:
-18 + 11y = 5(2 + y) + -3
-18 + 11y = (2 * 5 + y * 5) + -3
-18 + 11y = (10 + 5y) + -3

Reorder the terms:
-18 + 11y = 10 + -3 + 5y

Combine like terms: 10 + -3 = 7
-18 + 11y = 7 + 5y

Solving
-18 + 11y = 7 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-18 + 11y + -5y = 7 + 5y + -5y

Combine like terms: 11y + -5y = 6y
-18 + 6y = 7 + 5y + -5y

Combine like terms: 5y + -5y = 0
-18 + 6y = 7 + 0
-18 + 6y = 7

Add '18' to each side of the equation.
-18 + 18 + 6y = 7 + 18

Combine like terms: -18 + 18 = 0
0 + 6y = 7 + 18
6y = 7 + 18

Combine like terms: 7 + 18 = 25
6y = 25

Divide each side by '6'.
y = 4.166666667

Simplifying
y = 4.166666667

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