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

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


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

Reorder the terms:
3(-6 + y) + -2(5 + 3y) = 5
(-6 * 3 + y * 3) + -2(5 + 3y) = 5
(-18 + 3y) + -2(5 + 3y) = 5
-18 + 3y + (5 * -2 + 3y * -2) = 5
-18 + 3y + (-10 + -6y) = 5

Reorder the terms:
-18 + -10 + 3y + -6y = 5

Combine like terms: -18 + -10 = -28
-28 + 3y + -6y = 5

Combine like terms: 3y + -6y = -3y
-28 + -3y = 5

Solving
-28 + -3y = 5

Solving for variable 'y'.

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

Add '28' to each side of the equation.
-28 + 28 + -3y = 5 + 28

Combine like terms: -28 + 28 = 0
0 + -3y = 5 + 28
-3y = 5 + 28

Combine like terms: 5 + 28 = 33
-3y = 33

Divide each side by '-3'.
y = -11

Simplifying
y = -11

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