5y+3(y-9)=6(y+1)-4

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Solution for 5y+3(y-9)=6(y+1)-4 equation:


Simplifying
5y + 3(y + -9) = 6(y + 1) + -4

Reorder the terms:
5y + 3(-9 + y) = 6(y + 1) + -4
5y + (-9 * 3 + y * 3) = 6(y + 1) + -4
5y + (-27 + 3y) = 6(y + 1) + -4

Reorder the terms:
-27 + 5y + 3y = 6(y + 1) + -4

Combine like terms: 5y + 3y = 8y
-27 + 8y = 6(y + 1) + -4

Reorder the terms:
-27 + 8y = 6(1 + y) + -4
-27 + 8y = (1 * 6 + y * 6) + -4
-27 + 8y = (6 + 6y) + -4

Reorder the terms:
-27 + 8y = 6 + -4 + 6y

Combine like terms: 6 + -4 = 2
-27 + 8y = 2 + 6y

Solving
-27 + 8y = 2 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-27 + 8y + -6y = 2 + 6y + -6y

Combine like terms: 8y + -6y = 2y
-27 + 2y = 2 + 6y + -6y

Combine like terms: 6y + -6y = 0
-27 + 2y = 2 + 0
-27 + 2y = 2

Add '27' to each side of the equation.
-27 + 27 + 2y = 2 + 27

Combine like terms: -27 + 27 = 0
0 + 2y = 2 + 27
2y = 2 + 27

Combine like terms: 2 + 27 = 29
2y = 29

Divide each side by '2'.
y = 14.5

Simplifying
y = 14.5

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