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

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


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

Reorder the terms:
6(-5 + y) = 3(y + 3)
(-5 * 6 + y * 6) = 3(y + 3)
(-30 + 6y) = 3(y + 3)

Reorder the terms:
-30 + 6y = 3(3 + y)
-30 + 6y = (3 * 3 + y * 3)
-30 + 6y = (9 + 3y)

Solving
-30 + 6y = 9 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-30 + 6y + -3y = 9 + 3y + -3y

Combine like terms: 6y + -3y = 3y
-30 + 3y = 9 + 3y + -3y

Combine like terms: 3y + -3y = 0
-30 + 3y = 9 + 0
-30 + 3y = 9

Add '30' to each side of the equation.
-30 + 30 + 3y = 9 + 30

Combine like terms: -30 + 30 = 0
0 + 3y = 9 + 30
3y = 9 + 30

Combine like terms: 9 + 30 = 39
3y = 39

Divide each side by '3'.
y = 13

Simplifying
y = 13

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