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

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


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

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

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

Combine like terms: 5y + 3y = 8y
-18 + 8y = 6(y + 1) + -3

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

Reorder the terms:
-18 + 8y = 6 + -3 + 6y

Combine like terms: 6 + -3 = 3
-18 + 8y = 3 + 6y

Solving
-18 + 8y = 3 + 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.
-18 + 8y + -6y = 3 + 6y + -6y

Combine like terms: 8y + -6y = 2y
-18 + 2y = 3 + 6y + -6y

Combine like terms: 6y + -6y = 0
-18 + 2y = 3 + 0
-18 + 2y = 3

Add '18' to each side of the equation.
-18 + 18 + 2y = 3 + 18

Combine like terms: -18 + 18 = 0
0 + 2y = 3 + 18
2y = 3 + 18

Combine like terms: 3 + 18 = 21
2y = 21

Divide each side by '2'.
y = 10.5

Simplifying
y = 10.5

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