8y+3(y-6)=5(y+1)-4

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Solution for 8y+3(y-6)=5(y+1)-4 equation: 


Simplifying
8y + 3(y + -6) = 5(y + 1) + -4

Reorder the terms:
8y + 3(-6 + y) = 5(y + 1) + -4
8y + (-6 * 3 + y * 3) = 5(y + 1) + -4
8y + (-18 + 3y) = 5(y + 1) + -4

Reorder the terms:
-18 + 8y + 3y = 5(y + 1) + -4

Combine like terms: 8y + 3y = 11y
-18 + 11y = 5(y + 1) + -4

Reorder the terms:
-18 + 11y = 5(1 + y) + -4
-18 + 11y = (1 * 5 + y * 5) + -4
-18 + 11y = (5 + 5y) + -4

Reorder the terms:
-18 + 11y = 5 + -4 + 5y

Combine like terms: 5 + -4 = 1
-18 + 11y = 1 + 5y

Solving
-18 + 11y = 1 + 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 = 1 + 5y + -5y

Combine like terms: 11y + -5y = 6y
-18 + 6y = 1 + 5y + -5y

Combine like terms: 5y + -5y = 0
-18 + 6y = 1 + 0
-18 + 6y = 1

Add '18' to each side of the equation.
-18 + 18 + 6y = 1 + 18

Combine like terms: -18 + 18 = 0
0 + 6y = 1 + 18
6y = 1 + 18

Combine like terms: 1 + 18 = 19
6y = 19

Divide each side by '6'.
y = 3.166666667

Simplifying
y = 3.166666667

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